Dilemma in Teaching Mathematics

Science.gov (United States)

Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain

2012-01-01

The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…

Learning Mathematics for Teaching Mathematics: Non-Specialist Teachers' Mathematics Teacher Identity

Science.gov (United States)

Crisan, Cosette; Rodd, Melissa

2017-01-01

A non-specialist teacher of mathematics is a school teacher who qualified to teach in a subject other than mathematics yet teaches mathematics to students in secondary school. There is an emerging interest internationally in this population, a brief report of which is given in the paper. Because of concerns about the quality of non-specialists'…

Mathematics Teaching Anxiety and Self-Efficacy Beliefs toward Mathematics Teaching: A Path Analysis

Science.gov (United States)

Peker, Murat

2016-01-01

The purpose of this study was to investigate the relationship between pre-service primary school teachers' mathematics teaching anxiety and their self-efficacy beliefs toward mathematics teaching through path analysis. There were a total of 250 pre-service primary school teachers involved in this study. Of the total, 202 were female and 48 were…

Traditional vs. Innovative Uses of Computers among Mathematics Pre-Service Teachers in Serbia

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Teo, Timothy; Milutinovic, Verica; Zhou, Mingming; Bankovic, Dragic

2017-01-01

This study examined pre-service teachers' intentions to use computers in traditional and innovative teaching practices in primary mathematics classrooms. It extended the technology acceptance model (TAM) by adding as external variables pre-service teachers' experience with computers and their technological pedagogical content knowledge (TPCK).…

How Preservice Teachers Use Children’s Literature to Teach Mathematical Concepts: Focus on Mathematical Knowledge for Teaching

Directory of Open Access Journals (Sweden)

Jennifer EDELMAN

2017-06-01

Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.

How preservice teachers use children’s literature to teach mathematical concepts: Focus on mathematical knowledge for teaching

Directory of Open Access Journals (Sweden)

Jennifer Edelman

2017-06-01

Full Text Available This descriptive study examines the elements of mathematical knowledge for teaching (MKT that elementary teacher candidates exhibit as they plan, teach, and reflect on a mathematics lesson that integrates children’s literature. Data for this study were gathered from observations and written work of preservice elementary teacher candidates enrolled in a methods of teaching mathematics course. The data were analyzed using three criteria: that of knowledge of content and students, knowledge of content and teaching, and knowledge of content and curriculum. The findings suggest a need for further development of teacher candidates’ ability to identify and locate mathematical concepts in children’s literature, as well as the need for supporting teacher candidates’ critical analysis of curricular materials and mathematical representations in children’s literature.

Mathematics teaching and learning in K-12 equity and professional development

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Foote, M

2010-01-01

The continuing gap in achievement between traditionally underserved students (students of color, English learners, and poor children) and their middle-class white peers, however, has provoked questions of the effectiveness of current mathematics teaching practices for meeting the needs of these students.

PROFICIENT CLASSROOM MANAGEMENT THROUGH FOCUSED MATHEMATIC TEACHING

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Marcus Samuelsson

2017-12-01

Full Text Available A not entirely unusual position among teachers is that they believe that they must first establish a peaceful classroom before they can begin to teach the subject. This research, shows how a proficient mathematics teacher teaches his subject and thereby creates a quiet and focused classroom and exerts effective leadership, just by teaching mathematics. The researchers observed a male mathematics teacher for almost half a year, i.e. one semester. The results of research present several patterns that the researchers saw during the observations of his teaching. The teacher showed an interest in each student’s mathematical thinking and expressed explicitly how students were expected to learn mathematics. He also directed students’ attention to mathematics and established a culture where all solutions were important in the teaching process. In the teaching process, he used multiple representations to motivate students and a lot of supportive expressions that made them feel that they were able to learn mathematics. He worked patiently to establish structures, and there was almost no disruptive behaviour. Students simply did not have time to interfere because they were so engaged in learning mathematics.

Teaching secondary mathematics

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Rock, David

2013-01-01

Solidly grounded in up-to-date research, theory and technology,?Teaching Secondary Mathematics?is a practical, student-friendly, and popular text for secondary mathematics methods courses. It provides clear and useful approaches for mathematics teachers, and shows how concepts typically found in a secondary mathematics curriculum can be taught in a positive and encouraging way. The thoroughly revised fourth edition combines this pragmatic approach with truly innovative and integrated technology content throughout. Synthesized content between the book and comprehensive companion websi

Pre-Service Secondary Mathematics Teachers' Reflections on Good and Bad Mathematics Teaching

Science.gov (United States)

Dayal, Hem Chand

2013-01-01

Researchers suggest that teachers' beliefs about teaching are strongly influenced by their personal experiences with mathematics. This study aimed to explore Pacific Island pre-service secondary mathematics teachers' perceptions about good and bad mathematics teachers. Thirty pre-service teachers, enrolled in a mathematics teaching methods course…

Technological pedagogical content knowledge of junior high school mathematics teachers in teaching linear equation

Science.gov (United States)

Wati, S.; Fitriana, L.; Mardiyana

2018-04-01

Linear equation is one of the topics in mathematics that are considered difficult. Student difficulties of understanding linear equation can be caused by lack of understanding this concept and the way of teachers teach. TPACK is a way to understand the complex relationships between teaching and content taught through the use of specific teaching approaches and supported by the right technology tools. This study aims to identify TPACK of junior high school mathematics teachers in teaching linear equation. The method used in the study was descriptive. In the first phase, a survey using a questionnaire was carried out on 45 junior high school mathematics teachers in teaching linear equation. While in the second phase, the interview involved three teachers. The analysis of data used were quantitative and qualitative technique. The result PCK revealed teachers emphasized developing procedural and conceptual knowledge through reliance on traditional in teaching linear equation. The result of TPK revealed teachers’ lower capacity to deal with the general information and communications technologies goals across the curriculum in teaching linear equation. The result indicated that PowerPoint constitutes TCK modal technological capability in teaching linear equation. The result of TPACK seems to suggest a low standard in teachers’ technological skills across a variety of mathematics education goals in teaching linear equation. This means that the ability of teachers’ TPACK in teaching linear equation still needs to be improved.

The body and playfulness: promising tools for teaching and learning mathematics

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Yolanda Rodríguez Manosalva

2017-06-01

Full Text Available This paper will analyze the importance of playfulness as an instrument for learning mathematics, taking into account that the body allows to develop not only motor skills but also intellectual faculties involving high levels of abstraction, such as mathematical operations like addition, subtraction, multiplication and division. The methodology used was action research, through interviews to students, parents and teachers, as well as the systematization of experiences in the classroom by means of a field diary. It was found that traditional –tedious- teaching does not allow students to realize the importance of learning mathematics. It is concluded that it is necessary for the teachers to implement strategies that link playfulness and the body, in order to improve teaching-learning processes, which allows that mathematics do not be considered as something far from reality, but that be granted the status of a knowledge that improves the processes of understanding and reflection, facilitating the solution of practical problems.

ICT- The Educational Programs in Teaching Mathematics

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Dance Sivakova

2017-08-01

Full Text Available The range of information and communication technology in teaching mathematics is unlimited. Despite numerous researches about the opportunities and application of the ICT in teaching mathematics and in the world, however, many aspects remain unexplored. This research comes to knowledge that will be applicable to the educational practice. The findings will serve as motivation for more frequent use of the ICT in teaching mathematics from first to fifth grade as a mean for improving of the educational process. Through application of the ICT in the educational programs in teaching mathematics the technological improved practice is investigated and discussed and it helps overcoming of the challenges that arise when trying to integrate the ICT in the educational curricula in mathematics. The biggest challenge are the findings about the possibilities of the application of the ICT in the educational programs in math from first to fifth grade as well as their dissemination, all aimed to improving of teaching mathematics from the first to the fifth grade. The application of the most ICT in the educational programs of mathematics affects the training of the students for easier adoption of the mathematical concepts and the mathematical procedures and in the easier identification and resolving problem situations.

Teaching Mathematics as Agape

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Amidon, Joel C.

2011-01-01

What happens when the problem of inequitable access to mathematics is addressed by agape (pronounced agapa) or attending to the relationships students develop with mathematics? To respond to this question, this paper offers a description of the journey towards teaching mathematics as agape. First, I organized examples of equity pedagogy around the…

The Relationships among Mathematics Teaching Efficacy, Mathematics Self-Efficacy, and Mathematical Beliefs for Elementary Pre-Service Teachers

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Briley, Jason S.

2012-01-01

Ninety-five elementary pre-service teachers enrolled in a mathematics content course for elementary school teachers completed 3 surveys to measure mathematics teaching efficacy, mathematics self-efficacy, and mathematical beliefs. The pre-service teachers who reported stronger beliefs in their capabilities to teach mathematics effectively were…

A Preservice Mathematics Teacher's Beliefs about Teaching Mathematics with Technology

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Belbase, Shashidhar

2015-01-01

This paper analyzed a preservice mathematics teacher's beliefs about teaching mathematics with technology. The researcher used five semi-structured task-based interviews in the problematic contexts of teaching fraction multiplications with JavaBars, functions and limits, and geometric transformations with Geometer's Sketchpad, and statistical data…

The role of technology in fostering creativity in the teaching and learning of mathematics

Directory of Open Access Journals (Sweden)

Balarabe Yushau

2005-10-01

Full Text Available The paper looks at interrelationships between creativity and technology in the teaching and learning of mathematics. It suggests that a proper use of various technologies especially computers in the teaching and learning of mathematics has the potential of helping learners to develop their creativity. The technologies can provide an atmosphere under which mathematical skills can be extended beyond the ability to calculate or reproduce problems and enable learners to investigate, analyse and interpret problems at hand. Furthermore, with computers learners can use an experimental approach to deal with mathematical problems, which can lead to conjecture, pattern finding, examples and counter examples. In fact, if used effectively, computational aids can help in improving learners’ intellectual ability and hence mathematical achievement while fostering the requisite creativity not found in the traditional approach.

Prospective Secondary Mathematics Teachers' Perspectives and Mathematical Knowledge for Teaching

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Karagöz-Akar, Gülseren

2016-01-01

This study investigated the relationship between prospective secondary mathematics teachers' perspectives and their mathematical knowledge for teaching in action. Data from two prospective teachers' practice-teachings, one in geometry and one in algebra, their lesson plans and self-reflections were analyzed with Teacher Perspectives and Knowledge…

Developing teaching material based on realistic mathematics andoriented to the mathematical reasoning and mathematical communication

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Fitria Habsah

2017-05-01

Full Text Available This research aims to produce mathematics textbook for grade VII junior high school students based on realistic mathematics and oriented to the mathematical reasoning and mathematical communication. The quality is determined based on Nieveen criteria, including validity, practicality, and effectiveness.This study was a research and development and used Borg & Gall model. The subject of this research were the students of SMPN 2 Pujon-Kabupaten Malang, that is 30 students in an experimental class (using the developed textbook and 29 students in a control class (using BSE book from the government. The teaching material was categorized valid if the expert's judgment at least is categorized as “good”. The teaching material was categorized practical if both of teachers and students assessment at least categorized as “good”. The teaching material was categorized effectively if minimum 75% of student scores at least is categorized as “good” for the mathematical reasoning test and mathematical communication test. This research resulted in a valid, practical, and effective teaching material. The resulted of the validation show that material teaching is valid. The resulted of teachers and students assessment show that the product is practical. The tests scores show that the product is effective. Percentage of students who categorized at least as “good” is 83,33% for the mathematical reasoning and 86,67% for the mathematical communication. The resulted of statistic test shows that the product more effective than the BSE book from the government in terms of mathematical reasoning and mathematical communication.

Research on Team-teaching in Mathematics Education

OpenAIRE

重松, 敬一; 井戸野, 佐知子; 勝美, 芳雄

1995-01-01

Recently, there are many classes in which at least two teachers teach mathematics in elementary and lower secondary schools. We call that kind of teaching team-teaching. In some countries, it is called co-operative teaching. In this paper, we investigate the concept of team-teaching in mathematics education implementing a questionnaire, interviews or observing classroom lessons. Today, team-teaching has been administratively systematized. For example, additive teachers are sent to local schoo...

Mathematical Knowledge for Teaching, Standards-Based Mathematics Teaching Practices, and Student Achievement in the Context of the "Responsive Classroom Approach"

Science.gov (United States)

Ottmar, Erin R.; Rimm-Kaufman, Sara E.; Larsen, Ross A.; Berry, Robert Q.

2015-01-01

This study investigates the effectiveness of the Responsive Classroom (RC) approach, a social and emotional learning intervention, on changing the relations between mathematics teacher and classroom inputs (mathematical knowledge for teaching [MKT] and standards-based mathematics teaching practices) and student mathematics achievement. Work was…

Written mathematical traditions in Ancient Mesopotamia

DEFF Research Database (Denmark)

Høyrup, Jens

2015-01-01

Writing, as well as various mathematical techniques, were created in proto-literate Uruk in order to serve accounting, and Mesopotamian mathematics as we know it was always expressed in writing. In so far, mathematics generically regarded was always part of the generic written tradition....

The Language of Mathematics: The Importance of Teaching and Learning Mathematical Vocabulary

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Riccomini, Paul J.; Smith, Gregory W.; Hughes, Elizabeth M.; Fries, Karen M.

2015-01-01

Vocabulary understanding is a major contributor to overall comprehension in many content areas, including mathematics. Effective methods for teaching vocabulary in all content areas are diverse and long standing. Teaching and learning the language of mathematics is vital for the development of mathematical proficiency. Students' mathematical…

"You Just Have to Take a Bit of a Risk Sometimes": Breaking the "Cycle of Tradition" in Primary Mathematics

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Frid, Sandra; Sparrow, Len

2009-01-01

The purpose of this study was to explore the mathematics teaching practices of graduates of a pre-service primary/early childhood education program designed to develop teachers' capacities to implement non-traditional mathematics curricula. As a complementary component of a large survey study of graduate teachers, graduates were interviewed to…

Insights into teaching mathematics

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Orton, Anthony

2004-01-01

Providing essential guidance and background information about teaching mathematics, this book is intended particularly for teachers who do not regard themselves as specialists in mathematics. It deals with issues of learning and teaching, including the delivery of content and the place of problems and investigations. Difficulties which pupils encounter in connection with language and symbols form important sections of the overall discussion of how to enhance learning. The curriculum is considered in brief under the headings of number, algebra, shape and space, and data handling, and special at

Teaching Mathematics in Geography Degrees

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Bennett, Robert

1978-01-01

Examines ways of developing college students' motivation for mathematical training; describes the type of mathematical knowledge required in the geography discipline; and explores an applied approach to mathematics teaching based on a systems concept. For journal availability, see SO 506 224. (Author/AV)

The practice of teaching mathematics

OpenAIRE

Hefendehl-Hebeker, Lisa

1998-01-01

The practice of teaching mathematics : experimental conditions of change. - In: The culture of the mathematics classroom / ed. by Falk Seeger .... - Cambridge u.a. : Cambridge Univ. Press, 1998. - S. 104-124

Prospective Secondary Mathematics Teachers' Reflections on Teaching after Their First Teaching Experience

Science.gov (United States)

Yazgan-Sag, Gönül; Emre-Akdogan, Elçin; Argün, Ziya

2016-01-01

The aim of our study was to examine prospective secondary mathematics teachers' reflections about teaching after their first teaching experience. We carried out five interviews during the two semesters with four Turkish prospective secondary mathematics teachers. The data analysis suggests that prospective secondary mathematics teachers'…

The role of mathematics in politics as an issue for mathematics teaching

DEFF Research Database (Denmark)

Sánchez, Mario; Blomhøj, Morten

2010-01-01

This paper presents analyses of some examples of mathematical models used in the Mexican society of today. We seek to justify why and illustrate how such examples can be included in mathematics teaching and in teacher education.......This paper presents analyses of some examples of mathematical models used in the Mexican society of today. We seek to justify why and illustrate how such examples can be included in mathematics teaching and in teacher education....

Teaching mathematics creatively in the junior secondary classes ...

African Journals Online (AJOL)

This paper tried to emphasize the importance of teaching mathematics with creativity in the Junior Secondary classes (JS1-3) of our education system. It was established that a mathematically creative environment like the mathematics laboratory will enhance the teaching and learning of mathematics in schools. In this study ...

Finnish Mentor Mathematics Teachers' Views of the Teacher Knowledge Required for Teaching Mathematics

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Asikainen, Mervi A.; Pehkonen, Erkki; Hirvonen, Pekka E.

2013-01-01

Seven Finnish mentor mathematics teachers were interviewed about their views regarding the teacher knowledge required for teaching mathematics. The results of the interviews revealed not only the teachers' spontaneous views of the knowledge base needed for effective mathematics teaching but also their views of the particular types of teacher…

NEW TEACHING MATHEMATICS TEACHING EFFECTIVENESS OF THE USE OF INFORMATION AND COMMUNICATION TECHNOLOGIES

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Zhanys Aray Boshanqyzy; Nurkasymova Saule Nurkasymovna

2017-01-01

The possibilities of computer technologies in improving the quality of teaching mathematics and its application in the 7th grade students studied the impact on the development of mathematical thinking. Teachers and pupils kanşalıktı methodology to apply this technology meñgergendikteri tested and determined to improve the methods of teaching mathematics in the scientific literature of the main ideas, 7th grade, based on the best practices in the teaching of mathematics and taking into account...

Mathematical knowledge for teaching: Making the tacit more explicit in mathematics teacher education

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Abdullah, Mohd Faizal Nizam Lee; Vimalanandan, Lena

2017-05-01

Teaching practice during school based experiences, afford an opportunity for pre service teachers to put into practice their knowledge for teaching mathematics. Like all knowledge, Mathematical Knowledge for Teaching (MKT) is held in both tacit and explicit form, making it especially difficult to study and map during instruction. This study investigates the tacit and explicit nature of MKT held by pre service teachers in a Malaysian Teacher Education Program and how it impacts the Mathematical Quality of their instruction (MQI). This study of three mathematics pre-service teachers (PSTs), utilised videos of mathematics lessons, reflective debriefs and interviews. The findings suggest that factors such as reflecting, peer-sharing, conferencing with mentors and observing support in making tacit knowledge more explicit during planning and instruction. Implications for preparation of mathematics teachers capable of high Mathematical Quality of Instruction are also discussed.

Mathematics, Language, and Learning: A Longitudinal Study of Elementary Teachers and Their Mathematics Teaching Practices

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Yeh, Cathery

2016-01-01

Elementary school mathematics has gained increased attention in the last few decades. A growing field of research has studied the programmatic design and development of elementary mathematics teaching in teacher education, however, few studies have examined longitudinally the mathematics teaching of novice elementary teachers. Existing longitudinal studies on elementary mathematics teaching have generally focused on the effects of teacher preparation on their beginning practices and have exam...

How to teach mathematics

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Krantz, Steven G

2015-01-01

This third edition is a lively and provocative tract on how to teach mathematics in today's new world of online learning tools and innovative teaching devices. The author guides the reader through the joys and pitfalls of interacting with modern undergraduates-telling you very explicitly what to do and what not to do. This third edition has been streamlined from the second edition, but still includes the nuts and bolts of good teaching, discussing material related to new developments in teaching methodology and technique, as well as adding an entire new chapter on online teaching methods.

HOW TO GENERATE AUTONOMOUS QUESTIONING IN SECONDARY MATHEMATICS TEACHING?

DEFF Research Database (Denmark)

Jessen, Britta Eyrich

2017-01-01

In mathematics education it is still a major challenge to find ways to nurture students to pose and pursue their own questions in order to learn mathematics. During the last three decades problem posing has been explored through different approaches and in empirical studies. This paper presents...... the result of an empirical study, where teaching was designed and conducted based on The Anthropological Theory of the Didactic. It is shown how a changed didactic contract and open generating questions posed by the teacher can support students’ autonomous questioning of the taught knowledge. In the study......, students developed knowledge that went beyond curriculum requirements through autonomous activities, which were different from more traditional school and pedagogical culture....

Secondary School Mathematics Teachers' Attitude in Teaching Mathematics

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Mulugeta Atnafu

2014-01-01

The purpose of this study was to examine Addis Ababa secondary school mathematics teachers’ attitude in teaching mathematics. 148 mathematics teachers were selected using cluster sampling from Addis Ababa administration region. The study used survey method of data collection and it includes both quantitative and qualitative research methods. From the independent t-test, ANOVA, tukey test and regression analysis, some of the results obtained were: the majority of the secondary school mathemati...

Do Prospective Teachers Have Anxieties about Teaching Mathematics?

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Yavuz, Günes

2018-01-01

The purpose of this study is to analyse the level of prospective classroom and mathematics teachers' anxieties about teaching mathematics. Freshman and junior prospective teachers from educational faculties of two different universities participated in this study. "Anxieties About Teaching Mathematics Scale" which was developed by Peker…

Teaching Mathematics to Civil Engineers

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Sharp, J. J.; Moore, E.

1977-01-01

This paper outlines a technique for teaching a rigorous course in calculus and differential equations which stresses applicability of the mathematics to problems in civil engineering. The method involves integration of subject matter and team teaching. (SD)

An investigation of elementary preservice teachers’ self-efficacy for teaching mathematics

Directory of Open Access Journals (Sweden)

Rebecca McMahon Giles

2016-12-01

Full Text Available Research has consistently shown that teacher efficacy is related to a variety of desirable student outcomes, thus, making teacher efficacy an important factor in high quality mathematics instruction. The purpose of this study was to determine elementary preservice teachers’ self-efficacy beliefs related to teaching mathematics. Forty-one participants from a single university responded to the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI after completing a constructivist-based elementary mathematics methods course prior to student teaching. The MTEBI is 21-item survey using a 5-point, forced choice Likert-like scale to provide an individual's perceptions of mathematics teaching efficacy beliefs on two subscales—Personal Mathematics Teaching Efficacy Belief (PMTE and Mathematics Teaching Outcome Expectancy (MTOE. Responses on the PMTE subscale (Mean = 51.08, SD=5.171 indicate that the respondents’ personal mathematics teach efficacy is positive. Participants’ responses (Mean = 29.32, SD = 3.29 on the MTOE subscale indicate positive expectations of students' mathematics learning. Attending to preservice teacher efficacy is worthy of examination. Teacher preparation programs must identify opportunities to positively impact mathematics teaching efficacy of preservice teachers.

Humanizing the Teaching of Mathematics.

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Guting, R.

1980-01-01

The author shows how the teaching of mathematics may be adapted so that it is "humanized." It is asserted that the standard mathematics program "...appeals to the intellect, but attaches no value to other human qualities such as emotions and ethical character." (MP)

Learning the Work of Ambitious Mathematics Teaching

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Anthony, Glenda; Hunter, Roberta

2013-01-01

"Learning the Work of Ambitious Mathematics" project was developed to support prospective teachers learn the work of ambitious mathematics teaching. Building on the work of U.S. researchers in the "Learning in, from, and for Teaching Practice" project, we investigate new ways to make practice studyable within the university…

CLASSICS On Teaching Mathematics

Indian Academy of Sciences (India)

give a better and more correct idea of modern mathematics than whole volumes of the. Bourbaki ... The de-geometrisation of mathematical education and the divorce from physics sever these ties. ... is their traditional national trait. I do not ...

Authentic Teaching Experiences in Secondary Mathematics Methods

Science.gov (United States)

Stickles, Paula R.

2015-01-01

Often secondary mathematics methods courses include classroom peer teaching, but many pre-service teachers find it challenging to teach their classmate peers as there are no discipline issues and little mathematical discourse as the "students" know the content. We will share a recent change in our methods course where pre-service…

Mathematics, Science and the Cambridge Tradition

OpenAIRE

Nuno Ornelas Martins

2012-01-01

Copyright © 2012 World Economics Association. In this paper the use of mathematics in economics will be discussed, by comparing two approaches to mathematics, a Cartesian approach, and a Newtonian approach. I will argue that while mainstream economics is underpinned by a Cartesian approach which led to a divorce between mathematics and reality, the contributions of key authors of the Cambridge tradition, like Marshall, Keynes and Sraffa, are characterised by a Newtonian approach to mathema...

Improving Mathematics Teaching in Kindergarten with Realistic Mathematical Education

Science.gov (United States)

Papadakis, Stamatios; Kalogiannakis, Michail; Zaranis, Nicholas

2017-01-01

The present study investigates and compares the influence of teaching Realistic Mathematics on the development of mathematical competence in kindergarten. The sample consisted of 231 Greek kindergarten students. For the implementation of the survey, we conducted an intervention, which included one experimental and one control group. Children in…

The Relationship between Mathematics Teachers' Teaching Approaches and 9th Grade Students' Mathematics Self

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Briede, Liene

2016-01-01

The aim of the study is to investigate the relationship between the teaching approach adopted by mathematics teachers and their 9th grade students' mathematical self. The study searched for the answers on three research questions, namely, about 1) the approaches prevailing in mathematics teachers' beliefs about effective teaching and self-reports…

Investigation of the Effects of Mathematical Thinking States of Form Teachers on Their Mathematics Teaching Anxieties

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Yorulmaz, Alper; Altintas, Sedat; Sidekli, Sabri

2017-01-01

The state of mathematical thinking is considered to have an effect on the formation of anxiety regarding teaching mathematics. It is hypothesized that with the formation of mathematical thinking, the anxiety in teachers regarding teaching mathematics will be reduced. Since mathematical thinking is a skill acquired starting from the early years of…

Collegiate Mathematics Teaching: An Unexamined Practice

Science.gov (United States)

Speer, Natasha M.; Smith, John P., III; Horvath, Aladar

2010-01-01

Though written accounts of collegiate mathematics teaching exist (e.g., mathematicians' reflections and analyses of learning and teaching in innovative courses), research on collegiate teachers' actual classroom teaching practice is virtually non-existent. We advance this claim based on a thorough review of peer-reviewed journals where scholarship…

Teaching mathematics in colleges and universities faculty edition

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Friedberg, Solomon

2001-01-01

Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into far-reaching theorems. Similarly, in teaching mathematics one often employs examples to motivate a general principle or to illustrate its use. This volume uses the same idea in the context of learning how to teach: By analyzing particular teaching situations, one can develop broadly applicable teaching skills useful for the professional mathematician. These teaching situations are the Case Studies of the title. Just as a good mathematician seeks bot

The Integration of technology in teaching mathematics

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Muhtadi, D.; Wahyudin; Kartasasmita, B. G.; Prahmana, R. C. I.

2017-12-01

This paper presents the Transformation of Technological Pedagogical and Content Knowledge (TPACK) of three pre-service math teacher. They participate in technology-based learning modules aligned with teaching practice taught school and became characteristic of teaching method by using the mathematical software. ICT-based learning environment has been the demands in practice learning to build a more effective approach to the learning process of students. Also, this paper presents the results of research on learning mathematics in middle school that shows the influence of design teaching on knowledge of math content specifically.

Mathematics-for-teaching: Insights from the case of annuities

Directory of Open Access Journals (Sweden)

Craig Pournara

2014-11-01

Full Text Available Shulman’s notations of subject matter knowledge (SMK and pedagogical content knowledge (PCK have been very influential in education research on teachers’ knowledge for teaching. However, there is little empirical evidence in support of these as separate analytical constructs. Furthermore, attempts to distinguish SMK and PCK highlight the complex and multidimensional nature of teachers’ knowledge and hence the difficulty of separating SMK and PCK. The author adopts the notion of mathematics-for-teaching (MfT and argues that teachers’ knowledge for teaching annuities comprises knowledge of mathematical aspects, knowledge of pedagogical aspects and contextual knowledge of finance. Drawing from a larger study in which the author taught a financial mathematics course to pre-service secondary mathematics teachers, four examples of teachers’ knowledge for teaching annuities are identified, each of which illustrates how knowledge of mathematics, knowledge of pedagogy and contextual knowledge of finance are intertwined.

Teaching Mathematics for Social Justice: Examining Preservice Teachers' Conceptions

Science.gov (United States)

Jong, Cindy; Jackson, Christa

2016-01-01

Teaching for social justice is a critical pedagogy used to empower students to be social agents in the world they live. This critical pedagogy has extended to mathematics education. Over the last decade, mathematics education researchers have conceptualized what it means to teach mathematics for social justice, but little is known about preservice…

Approaches to teaching primary level mathematics

Directory of Open Access Journals (Sweden)

Caroline Long

2014-12-01

Full Text Available In this article we explore approaches to curriculum in the primary school in order to map and manage the omissions implicit in the current unfolding of the Curriculum and Assessment Policy Statement for mathematics. The focus of school-based research has been on curriculum coverage and cognitive depth. To address the challenges of teaching mathematics from the perspective of the learner, we ask whether the learners engage with the subject in such a way that they build foundations for more advanced mathematics. We firstly discuss three approaches that inform the teaching of mathematics in the primary school and which may be taken singly or in conjunction into organising the curriculum: the topics approach, the process approach, and the conceptual fields approach. Each of the approaches is described and evaluated by presenting both their advantages and disadvantages. We then expand on the conceptual fields approach by means of an illustrative example. The planning of an instructional design integrates both a topics and a process approach into a conceptual fields approach. To address conceptual depth within this approach, we draw on five dimensions required for understanding a mathematical concept. In conclusion, we reflect on an approach to curriculum development that draws on the integrated theory of conceptual fields to support teachers and learners in the quest for improved teaching and learning.

New Challenges in the Teaching of Mathematics.

Science.gov (United States)

Bourguignon, Jean Pierre

The manifold but discrete presence of mathematics in many objects or services imposes new constraints to the teaching of mathematics. If citizens need to be comfortable in various situations with a variety of mathematical tools, the learning of mathematics requires that one starts with simple concepts. This paper proposes some solutions to solve…

Defining, Developing, and Measuring "Proclivities for Teaching Mathematics"

Science.gov (United States)

Lewis, Jennifer M.; Fischman, Davida; Riggs, Matt

2015-01-01

This article presents a form of teacher reasoning that we call "proclivities for teaching mathematics." We define proclivities for teaching mathematics as the beliefs, knowledge, and dispositions that are actionable in the flow of instruction, and we argue that growth in this area contributes to positive change in mathematics…

Attitudes of Mathematics Teachers toward Using Smart Board in Teaching Mathematics

Science.gov (United States)

Muhanna, Wafa; Nejem, Khamis Mousa

2013-01-01

This study aimed at investigating the attitudes of mathematics teachers toward using a smart board in teaching mathematics and also to determine the effect of gender, experience, and qualification of teachers on their attitudes. The sample of this study consisted of 74 mathematics teachers--35 males and 39 females--from private schools in Amman…

Innovative methods in teaching mathematics

OpenAIRE

Чепелева, Т. И.

2013-01-01

The report outlines the main directions of innovation in the teaching of higher mathematics at the university. The basic technological approach is suggested when creating lecture presentations such as their color characteristics of fonts, the amount of information on a slide, etc., which is based on teaching experience and is suitable for development of other educational presentations.

Perspectives on instructor modeling in mathematics teacher education

OpenAIRE

Brown, Cassondra

2009-01-01

Teachers' instructional practices are greatly shaped by their own learning experiences as students in K-12 and college classrooms, which for most teachers was traditional, teacher-centered instruction. One of the challenges facing mathematics education reform is that, traditional teaching is in contrast to reform student- centered instruction. If teachers learn from their experiences as mathematics students, mathematics teacher educators are encouraged to model practices they would like teach...

Real World Connections in High School Mathematics Curriculum and Teaching

Directory of Open Access Journals (Sweden)

Gökhan Karakoç

2015-04-01

Full Text Available Making real world connections in mathematics curricula and in teaching mathematics is generally viewed favorably within the educational community, however, little empirical research has examined how and why to use real world connections in mathematics education based on the views of experts. This study describes the feasibility of the use of real world connections according to high school mathematics teachers and academicians of mathematics education. Opinions of high school mathematics teachers (n=16 and academicians (n=8 about advantages, disadvantages, and examples of real world connections are elicited and reported. Teachers and academicians report several advantages of the use of real world connections in teaching mathematics as well as its disadvantages and limitations. Suggestions about dealing with limiting factors for using real world connections are also reported. Keywords: Mathematics curriculum, real world connections, mathematics teaching

IMPROVING TEACHING MATHEMATICS USING MODERN INFORMATION TECHNOLOGIES IN FORMATION MATHEMATICAL COMPETENCE REQUIRED FUTURE SKIPPERS.

Directory of Open Access Journals (Sweden)

Elena Gudyreva

2015-10-01

Full Text Available The article is devoted to consideration of issues related to identifying the potential for teaching mathematics using network (Internet technology and the introduction of elements of distance learning into educational process of higher educational establishments of the sea profile, as well as achievement of formation of mathematical competence of students of the University generally, and of the University's Maritime profile, in particular. Based on the analysis of psychological and pedagogical literature highlights the factors that influence the increase of efficiency of independent work of students of higher educational institutions and on the formation of steady skills of self-education that ultimately leads to quality of formation of mathematical competence of a student. Specific features of teaching mathematics at the University of the sea profile. The description of the project (complex sites "KSMA. Higher mathematics navigators", who developed and used in the Kherson state Maritime Academy in the teaching of mathematics and the organization of individual techniques of distance learning, shows the simplicity and accessibility of working with complex sites, as well as the simplicity and accessibility of design "personal website", but in fact complex sites, by a teacher of any discipline of higher education. Shown, also a training process with the use of the project "KSMA. Higher mathematics navigators", analyzes the experience of teaching the course "Higher mathematics" in a higher educational institution of the marine profile with the use of a personal website, a teacher and shown positive results in students mastery of basic mathematical competencies.

Linking Teaching in Mathematics and the Subjects of Natural Science

DEFF Research Database (Denmark)

Michelsen, Claus

2017-01-01

teaching programs. This is partly due to the lack of a framework for integrating productive ideas across the disciplines. This paper focus on how to grasp the challenges of an interdisciplinary approach to teaching in mathematics and the subjects of natural science. Based on contemporary mathematics...... and science education we design a didactical framework for interdisciplinary teaching centered on modeling activities across mathematics and the disciplines of natural science. To exemplify the potential of the framework we present a case study of an intensive in-service teacher-training program...... for mathematics and biology teachers. The teachers were presented to the didactical framework and in pairs of two, one mathematics teacher and one biology teacher; they designed and implemented interdisciplinary mathematicsbiology teaching sequences. The teachers’ reports on their development and implementation...

Advantages of discussion and cognitive conflict as an instructional method in contemporary teaching of mathematics

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Mišurac-Zorica Irena

2012-01-01

Full Text Available Contemporary theories of teaching and learning mathematics emphasise the importance of learner’s active participation in the teaching process, in which discovery and logical reasoning lead to the construction of student’s knowledge. In this form of teaching, it is important to detect students’ misunderstandings and errors that can occur during learning. Uncovered tacit and false conceptions of students’ knowledge can greatly contribute to the opposite effect in the construction of knowledge. In teaching mathematics, there are many situations which leave students with ambiguities and misunderstandings, and create an impression in children that teaching of mathematics and mathematical knowledge itself is something that is not possible. Discussion and cognitive conflict are methods which have their starting point in the theory of constructivism. The aim of our study has been to determine whether application of the method of discussion and cognitive conflict in learning to divide decimal numbers leads to the enhancement of student’s procedural knowledge and conceptual knowledge about the division of decimal numbers. Longitudinally, we monitored two groups of 117 pupils of the fifth grade. In the first group, which was taught according to the guidelines of contemporary mathematics education, students engaged in discussion, discovering their misunderstandings and errors, and the cognitive conflict resulted in correct concepts. The second group of students were taught traditionally, learning the procedure and then practicing it. The paper presents a descriptive analysis of the process of teaching and quantitative analysis of the performance based on the comparison of conceptual and procedural knowledge of both groups. Results of our work show that the application of contemporary methods of discussion and cognitive conflict affects the increase of procedural and conceptual knowledge of the division of decimal numbers.

Mathematics understanding and anxiety in collaborative teaching

Science.gov (United States)

Ansari, B. I.; Wahyu, N.

2017-12-01

This study aims to examine students’ mathematical understanding and anxiety using collaborative teaching. The sample consists of 51 students in the 7th-grade of MTs N Jeureula, one of the Islamic public junior high schools in Jeureula, Aceh, Indonesia. A test of mathematics understanding was administered to the students twice during the period of two months. The result suggests that there is a significant increase in mathematical understanding in the pre-test and post-test. We categorized the students into the high, intermediate, and low level of prior mathematics knowledge. In the high-level prior knowledge, there is no difference of mathematical understanding between the experiment and control group. Meanwhile, in the intermediate and low level of prior knowledge, there is a significant difference of mathematical understanding between the experiment and control group. The mathematics anxiety is at an intermediate level in the experiment class and at a high level in the control group. There is no interaction between the learning model and the students’ prior knowledge towards the mathematical understanding, but there are interactions towards the mathematics anxiety. It indicates that the collaborative teaching model and the students’ prior knowledge do not simultaneously impacts on the mathematics understanding but the mathematics anxiety.

Active Learning versus Traditional Teaching

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L.A. Azzalis

2009-05-01

Full Text Available In traditional teaching most of the class time is spent with the professor lecturing and the students watching and listening. The students work individually, and cooperation is discouraged. On the other hand,  active learning  changes the focus of activity from the teacher to the learners, in which students solve problems, answer questions, formulate questions of their own, discuss, explain, debate during class;  moreover, students work in teams on problems and projects under conditions that assure positive interdependence and individual accountability. Although student-centered methods have repeatedly been shown to be superior to the traditional teacher-centered approach to instruction, the literature regarding the efficacy of various teaching methods is inconclusive. The purpose of this study was to compare the student perceptions of course and instructor effectiveness, course difficulty, and amount learned between the active learning and lecture sections  in Health Sciences´ courses by statistical data from Anhembi Morumbi University. Results indicated significant  difference between active  learning and traditional  teaching. Our conclusions were that strategies promoting  active  learning to  traditional lectures could increase knowledge and understanding.

The Multiple Intelligences Teaching Method and Mathematics ...

African Journals Online (AJOL)

The Multiple Intelligences teaching approach has evolved and been embraced widely especially in the United States. The approach has been found to be very effective in changing situations for the better, in the teaching and learning of any subject especially mathematics. Multiple Intelligences teaching approach proposes ...

The Use of GBL to Teach Mathematics in Higher Education

Science.gov (United States)

Naik, Nitin

2017-01-01

Innovation in learning and teaching is an everyday requirement in contemporary higher education (HE), especially in challenging subjects such as mathematics. Teaching mathematics to students with limited experience of formal mathematical instruction is a good example of a demanding pedagogical undertaking where innovatory practice can help HE…

Innovative trends in mathematics education: Implications for global ...

African Journals Online (AJOL)

Acquisition of Mathematical knowledge and skills requires effective teaching and learning. The traditional method of teaching that is usually adopted by Mathematics Teachers has been identified as one of the causes of students' poor performance Mathematics. However, adoptions of innovative strategies have been ...

Didactic Contracts in Realistic Mathematics Education Teaching Practice in Indonesia: A lesson on addition

DEFF Research Database (Denmark)

Putra, Zetra Hainul

combinations that make ten based on a Palembang traditional food, pempek, and tablets of medicine. The result shows that some features such as formulation and validation appear during the teaching and learning process. The students are able to produce combinations that make ten individually and collectively......This paper aims to investigate characterize features of didactic contracts in realistic mathematics education teaching practice in Indonesia in the case of a lesson on addition. We just focus on some episodes of 26 first grade students and a female teacher from SDN 197 Palembang learning...

Mathematics Teachers' Use of Ethnomathematics Approach in Mathematics Teaching in Edo State

Science.gov (United States)

Aikpitanyi, Lucky Aiwuyor; Eraikhuemen, Lucy

2017-01-01

The study investigated mathematics teachers' use of ethnomathematics approach to teaching. Descriptive survey research was used with a target population of all mathematics teacher in all public secondary schools in Oredo, Egor and Ikpoba-Okha local government areas of Edo State out of which 121 mathematics teachers in 42 randomly selected public…

Challenges and Opportunities in Teaching Mathematics

Science.gov (United States)

Goos, Merrilyn

2016-01-01

At the special conference celebrating the 50th anniversary of the Australian Association of Mathematics Teachers (AAMT), the author was asked to speak about the challenges and opportunities in teaching mathematics as a stimulus for discussion of AAMT's "future directions". With an open invitation to be a little provocative, the author…

The transformation of science and mathematics content knowledge into teaching content by university faculty

Science.gov (United States)

Flynn, Natalie P.

knowledge from an expert centered perspective to a student centric view. Follow-up interviews of twenty faculty yielded a wide variety of insights into the complicated method of deconstructing expert science and mathematics content. The interviews revealed a major disconnect between education research and researchers and the science and mathematics content experts who teach. There is a pervasive disregard for science and mathematics education and training. Faculty members find little to no support for teaching. Though 81% obtained their Ph.D. with the intent to enter an academic setting, pedagogical training was non-existent or limited, both prior to and after obtaining faculty positions. Experience alone did not account for confidence or ability to successfully teach. Faculty that were able to 'think like a student' and view their material from a student's perspective' seemed to be the most confident and flexible in their teaching methods. Grading and having an open and interactive teaching style, being on the 'side of the students' also seemed to allow faculty to connect more deeply with the students and learn about common misconceptions and difficulties. Though most faculty claimed to not teach as they were taught and not recall having specific content difficulties, this essential interaction with many students facilitated a shift in thinking about their content. This shift allowed for a reversal from teacher centered classrooms to student centered. Multiple issues arise when teaching at a traditional larger lecture style found in the majority of universities science and mathematics courses that constrain and provide unique teaching challenges. Many faculty have developed unique tools to incorporate successful teaching strategies, such as daily pre-quizzes and smart-phone questioning as well as small group work, computer posted guides, strategic class breaks, and limiting lecture style in favor of a more active engaged classroom. (Abstract shortened by UMI.).

The Use of the History of Mathematics in the Teaching Pre-Service Mathematics Teachers

Science.gov (United States)

Galante, Dianna

2014-01-01

Many scholars have written about using the history of mathematics in the teaching of pre-service mathematics teachers. For this study, pre-service mathematics teachers developed an electronic journal of reflections based on presentations in the history of mathematics in a secondary mathematics education course. The main purpose of the…

Factors Influencing Elementary Mathematics Teachers' Beliefs in Reform-Based Teaching

Science.gov (United States)

Sawyer, Amanda Gantt

2017-01-01

I investigated a reform based teachers' beliefs about the nature of mathematics, teaching mathematics, and learning mathematics, and the factors leading to their formation. I interviewed and observed a reform-based elementary mathematics teacher with 13 years' experience teaching first grade. She held a Platonist/problem solver view of…

The Effect of Realistic Mathematics Education Approach on Students' Achievement And Attitudes Towards Mathematics

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Effandi Zakaria

2017-02-01

Full Text Available This study was conducted to determine the effect of Realistic Mathematics Education Approach on mathematics achievement and student attitudes towards mathematics. This study also sought determine the relationship between student achievement and attitudes towards mathematics. This study used a quasi-experimental design conducted on 61 high school students at SMA Unggul Sigli. Students were divided into two groups, the treatment group $(n = 30$ namely, the Realistic Mathematics Approach group (PMR and the control group $(n = 31$ namely, the traditional group. This study was conducted for six weeks. The instruments used in this study were the achievement test and the attitudes towards mathematics questionnaires. Data were analyzed using SPSS. To determine the difference in mean achievement and attitudes between the two groups, data were analyzed using one-way ANOVA test. The result showed significant differences between the Realistic Mathematics Approach and the traditional approach in terms of achievement. The study showed no significant difference between the Realistic Mathematics Approach and the traditional approach in term of attitudes towards mathematics. It can be concluded that the use of realistic mathematics education approach enhanced students' mathematics achievement, but not attitudes towards mathematics. The Realistic Mathematics Education Approach encourage students to participate actively in the teaching and learning of mathematics. Thus, Realistic Mathematics Education Approach is an appropriate methods to improve the quality of teaching and learning process.

Teaching Mathematical Modelling for Earth Sciences via Case Studies

Science.gov (United States)

Yang, Xin-She

2010-05-01

Mathematical modelling is becoming crucially important for earth sciences because the modelling of complex systems such as geological, geophysical and environmental processes requires mathematical analysis, numerical methods and computer programming. However, a substantial fraction of earth science undergraduates and graduates may not have sufficient skills in mathematical modelling, which is due to either limited mathematical training or lack of appropriate mathematical textbooks for self-study. In this paper, we described a detailed case-study-based approach for teaching mathematical modelling. We illustrate how essential mathematical skills can be developed for students with limited training in secondary mathematics so that they are confident in dealing with real-world mathematical modelling at university level. We have chosen various topics such as Airy isostasy, greenhouse effect, sedimentation and Stokes' flow,free-air and Bouguer gravity, Brownian motion, rain-drop dynamics, impact cratering, heat conduction and cooling of the lithosphere as case studies; and we use these step-by-step case studies to teach exponentials, logarithms, spherical geometry, basic calculus, complex numbers, Fourier transforms, ordinary differential equations, vectors and matrix algebra, partial differential equations, geostatistics and basic numeric methods. Implications for teaching university mathematics for earth scientists for tomorrow's classroom will also be discussed. Refereces 1) D. L. Turcotte and G. Schubert, Geodynamics, 2nd Edition, Cambridge University Press, (2002). 2) X. S. Yang, Introductory Mathematics for Earth Scientists, Dunedin Academic Press, (2009).

Factors That Influence the Understanding of Good Mathematics Teaching

Science.gov (United States)

Leong, Kwan Eu

2013-01-01

This study explored the factors that influenced the understanding of good mathematics teaching. A mixed methodology was used investigate the beliefs of beginning secondary teachers on good mathematics teaching. The two research instruments used in this study were the survey questionnaire and an interview. Beginning teachers selected Immediate…

Abstract Algebra for Algebra Teaching: Influencing School Mathematics Instruction

Science.gov (United States)

Wasserman, Nicholas H.

2016-01-01

This article explores the potential for aspects of abstract algebra to be influential for the teaching of school algebra (and early algebra). Using national standards for analysis, four primary areas common in school mathematics--and their progression across elementary, middle, and secondary mathematics--where teaching may be transformed by…

Learning Environments in Mathematics

Science.gov (United States)

Turner, Vanshelle E.

2017-01-01

Learning mathematics is problematic for most primary school age children because mathematics is rote and the memorization of steps rather than an approach to seeing relationships that builds inquiry and understanding. Therefore, the traditional "algorithmic" way of teaching mathematics has not fully prepared students to be critical…

Mathematics in Finance and Economics: Importance of Teaching Higher Order Mathematical Thinking Skills in Finance

Science.gov (United States)

Tularam, Gurudeo Anand

2013-01-01

This paper addresses the importance of teaching mathematics in business and finance schools of tertiary institutions of Australia. The paper explores the nature of thinking and reasoning required for advancement financial or economic studies involves the use of higher order thinking and creativity skills (HOTS) for teaching in mathematics classes.…

Investigating Alignment between Elementary Mathematics Teacher Education and Graduates' Teaching of Mathematics for Conceptual Understanding

Science.gov (United States)

Jansen, Amanda; Berk, Dawn; Meikle, Erin

2017-01-01

In this article, Amanda Jansen, Dawn Berk, and Erin Meikle investigate the impact of mathematics teacher education on teaching practices. In their study they interviewed six first-year teachers who graduated from the same elementary teacher education program and who were oriented toward teaching mathematics conceptually. They observed each teacher…

Learners with learning difficulties in mathematics : attitudes, curriculum and methods of teaching mathematics

OpenAIRE

2012-01-01

D.Ed. The aim of this theses is to find out whether there is any relationship between learners' attitudes and learning difficulties in mathematics: To investigate whether learning difficulties in mathematics are associated with learners' gender. To establish the nature of teachers' perceptions of the learning problem areas in the mathematics curriculum. To find out about the teachers' views on the methods of teaching mathematics, resources, learning of mathematics, extra curricular activit...

In-service and Pre-service Middle School Mathematics Teachers' Attitudes and Decisions Regarding Teaching Mathematics Using Mobile Phones

Directory of Open Access Journals (Sweden)

Wajeeh M. Daher

2014-10-01

Full Text Available Several researches examined students' mathematics learning using mobile phones, while very few researches examined mathematics teaching using this new educational tool. This research attempts to analyze in-service and pre-service teachers' attitudes and decisions regarding mathematics teaching with mobile phones using activity theory. More specifically, three case studies are analyzed in this research: One concerns an in-service teacher who used mobile phones in her class, the second case study involves a pre-service teacher who collaborated with the in-service teacher to teach mathematics lessons using mobile phones, and the third case study is about 15 pre-service teachers who were observers of the experiment but did not use mobile phones in their teaching. We held one-hour semi-structured interviews with the in-service teacher, with the leading pre-service teacher and with the group of other observer pre-service teachers. This happened three times during the academic year: at the beginning of the experiment, after three months and after it ended. The research findings indicate that different factors have an impact on the attitudes and decisions of the teacher: history of the teacher using technologies in teaching, perceptions of the teacher using technologies in teaching, community’s teacher, rules regulating the use of technologies in teaching mathematics, and division of labor. For example, questions as to who decides which technologies to use in the classroom and who should prepare the learning material for the students. Contradictions were identified in mathematics teachers' activity when utilizing mobile phones in their teaching. These contradictions hinder or slow such utilization. Community, especially its leading members, mediated and helped overcome the activity contradictions that arose throughout the experiment regarding the teaching processes in and/or out of the mathematics classroom.

Pre-service teachers' mathematical knowledge for teaching basic ...

African Journals Online (AJOL)

This study measured pre-service teachers' mathematical knowledge for teaching (MKT) basic school mathematics. MKT multiple-choice test was administered to 100 pre-service teachers from two colleges of education (located at Mampong in the Ashanti Region of Ghana) to assess their mathematical knowledge for ...

TUTOR SUPPORT OF TEACHING MATHEMATICS WITH INFORMATION AND COMMUNICATION TECHNOLOGIES

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Kateryna P. Osadcha

2017-10-01

Full Text Available The paper describes the tutor activity in the process of mathematics teaching support on the basis of the use of information and communication technologies (ICT. The author has analysed the available Internet resources and mobile applications in mathematics, which are classified according to their functional purposes into groups: systems of mass open courses, platforms for adaptive learning, video channels, mathematical online simulators, online tasks, mathematical games, mathematical portals, online platforms, mathematical sites, mathematical online platforms, mathematical services, mobile applications in mathematics (simulators, games, generators of example, assistant programs, training complexes, calculators. In accordance with the student age categories mathematical information and communication technologies are divided into three groups: for elementary school students, secondary school students and high school students. The basic ICT tools for teaching mathematics are outlined. The algorithm for constructing tutorial classes with their application is presented.

Teaching mathematics in Indonesian primary schools : using ralistic mathematics education (RME)-approach

NARCIS (Netherlands)

Fauzan, Ahmad; Slettenhaar, Dick; Plomp, T.

2002-01-01

This paper presents a case study about employing Realistic Mathematics Education (RME)-approach to teach mathematics in Indonesian primary schools. Many obstacles, such as the very dependent attitude of the pupils, the pupils who were not used to working in groups, lack of reasoning capability and

Reflective Awareness in Mathematics Teachers' Learning and Teaching

Science.gov (United States)

Chapman, Olive

2015-01-01

The nature of mathematics teachers' knowledge specific to teaching mathematics [MTK] is of ongoing concern in mathematics education research. This article contributes to our under-standing of this knowledge with particular focus on reflective awareness. It discusses MTK based on ways it has been used in research. It highlights reflective awareness…

Examination of Pre-Service Mathematics Teachers' Knowledge of Teaching Function Concept

Science.gov (United States)

Tasdan, Berna Tataroglu; Koyunkaya, Melike Yigit

2017-01-01

Teaching of mathematics could be improved with teachers who have a strong mathematical knowledge and have an ability to reflect this knowledge on their teaching. Therefore, it is important to develop mathematics teachers' theoretical and pedagogical knowledge. This study was designed to examine pre-service secondary mathematics teachers' (PSMT)…

Teaching general problem-solving skills is not a substitute for, or a viable addition to, teaching mathematics

NARCIS (Netherlands)

Sweller, John; Clark, Richard; Kirschner, Paul A.

2010-01-01

Sweller, J., Clark, R., & Kirschner, P. A. (2010). Teaching general problem-solving skills is not a substitute for, or a viable addition to, teaching mathematics. Notices of the American Mathematical Society, 57, 1303-1304.

Effect of teaching mathematics using GeoGebra on students' with dissimilar spatial visualisation

Science.gov (United States)

Bakar, Kamariah Abu; Ayub, Ahmad Fauzi Mohd; Tarmizi, Rohani Ahmad; Luan, Wong Su

2015-10-01

This study examined the effects of GeoGebra on mathematics performance of students with different spatial visualization. A qusai-experimental, pretest-posttest control group design was conducted. A total of 71 students from two intact groups were involved in the study. They were in two groups and each group was randonly assigned to the experimental group (36 students) and control group (35 students). A spatial visual test to identify students with high or low visualization, and a mathematics performance pre-test were administered at the initial stage of this study. A post-test was administered after 12 weeks of treatment using GeoGebra. Analyses of Covarion (ANCOVA) was used to adjust for the pre-test score. Findings showed that the group with access to GeoGebra achieved significantly better test scores in the posttest as compared to the group which followed the traditional teaching method. A two-way ANCOVA used to analyse the effect of students' spatial visualization on post-test performance showed that there was no effect. The results from this study suggested that using GeoGebra had helped the students to score better in the posttest. However, there is no significance difference on mathematics performances on students with difference types of spatial visualisastion. This study indicates that GeoGebra is useful in enhancing the teaching and learning of mathematics.

Establishing Mathematics for Teaching within Classroom Interactions in Teacher Education

Science.gov (United States)

Ryve, Andreas; Nilsson, Per; Mason, John

2012-01-01

Teacher educators' processes of establishing "mathematics for teaching" in teacher education programs have been recognized as an important area for further research. In this study, we examine how two teacher educators establish and make explicit features of mathematics for teaching within classroom interactions. The study shows how the…

What Is the Relationship between Technology and Mathematics Teaching Anxiety?

Science.gov (United States)

Tatar, Enver; Zengin, Yilmaz; Kagizmanli, Türkan Berrin

2015-01-01

The aim of this study is to determine the relationship between pre-service teachers' perceptions regarding technology use in mathematics teaching and their computer literacy levels as well as their mathematics teaching anxiety. The nonexperimental correlational research, which is included in the quantitative research approach, was used in the…

Rethinking Mathematics Teaching in Liberia: Realistic Mathematics Education

Science.gov (United States)

Stemn, Blidi S.

2017-01-01

In some African cultures, the concept of division does not necessarily mean sharing money or an item equally. How an item is shared might depend on the ages of the individuals involved. This article describes the use of the Realistic Mathematics Education (RME) approach to teach division word problems involving money in a 3rd-grade class in…

Making Meaning of Creativity and Mathematics Teaching

DEFF Research Database (Denmark)

Misfeldt, Morten

2014-01-01

. One reason is that it is not clear what relation such creative and innovative skills have to mathematics, and how we should teach them. In this paper, I review different conceptions of creativity in mathematics education and investigate what mathematical innovation and creativity “are......Creativity and innovation are important 21st-century skills, and mathematics education contributes to the development of these skills. However, it is far from clear how we as mathematics educators should respond to the need to contribute to our students’ development of creativity and innovation......” in the mathematical classroom. I show how different conceptions of mathematical innovation and creativity dominate different parts of the mathematics education literature, and explain how these differences can be viewed as framing mathematical creativity toward different domains....

Science and mathematics teaching through local games in preschools of Botswana

Directory of Open Access Journals (Sweden)

Kabita Bose

2016-11-01

Full Text Available This article presents a study regarding preschool teachers’ skills and competencies in teaching science and mathematics. The aim of the project was twofold; one to find out the preschool teachers’ knowledge about mathematics and science concepts and then to develop support material to empower them with skills and competencies to teach these concepts in preschools. A qualitative approach was adopted, and a case study method was used. Data were collected through two workshops and focus group discussions with preschool teachers. The study revealed that the preschool teachers had content knowledge, but lacked pedagogical knowledge that is crucial in teaching of preschool children, and they provided science and mathematics experiences in preschools scarcely. A resource book of 33 local games and rhymes thus was developed as a support material to empower the teachers with skills and competencies to use play to teach science and mathematics in preschools. The resource book developed consists of 33 local games/rhymes and is packaged with the games’ illustrations, steps and rules followed in the games, science and mathematics concepts and competencies that could be taught to children, along with probing questions that would help in teaching of science and mathematics concepts to children.

More than Numbers: Teaching ELLs Mathematical Language in Primary Grades

Science.gov (United States)

Sistla, Michelle; Feng, Jay

2014-01-01

Teaching English Language Learners (ELL) academics while they are acquiring English language skills is a challenge for teachers. This action research examines the use of Response To Intervention (RTI) in teaching ELLs mathematical language and its effect on students' math achievement in primary grades. It shows that when mathematical language…

Characteristics of mathematics teaching in Shanghai, China: Through the lens of a Malaysian

Science.gov (United States)

Lim, Chap Sam

2007-06-01

The mathematical performance of Chinese students, from mainland China, Hong Kong and Taiwan, is widely acclaimed in international comparisons of mathematics achievement. However, in the eyes of the Western educators, the environments established in Chinese schools are deemed relatively unfavourable for mathematics learning. This paper reports on a study that investigates the characteristics of effective mathematics teaching in five Shanghai schools. Findings reveal that those characteristics include (a) teaching with variation; (b) emphasis of precise and elegant mathematical language; (c) emphasis of logical reasoning, mathematical thinking and proofing during teaching; (d) order and serious classroom discipline; (e) strong and coherence teacher-student rapport, and (f) strong collaborative culture amongst mathematics teachers.

Methodological Approaches to Experimental Teaching of Mathematics to University Students

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Nikolay I.

2018-03-01

Full Text Available Introduction: the article imparts authors’ thoughtson a new teaching methodology for mathematical education in universities. The aim of the study is to substantiate the efficiency of the comprehensive usage of mathematical electronic courses, computer tests, original textbooks and methodologies when teaching mathematics to future agrarian engineers. The authors consider this implementation a unified educational process. Materials and Methods: the synthesis of international and domestic pedagogical experience of teaching students in university and the following methods of empirical research were used: pedagogical experiment, pedagogical measurementsand experimental teaching of mathematics. The authors applied the methodology of revealing interdisciplinary links on the continuum of mathematical problems using the key examples and exercises. Results: the online course “Mathematics” was designed and developed on the platform of Learning Management System Moodle. The article presents the results of test assignments assessing students’ intellectual abilities and analysis of solutions of various types of mathematical problems by students. The pedagogical experiment substantiated the integrated selection of textbooks, online course and online tests using the methodology of determination of the key examples and exercises. Discussion and Conclusions: the analysis of the experimental work suggested that the new methodology is able to have positive effect on the learning process. The learning programme determined the problem points for each student. The findings of this study have a number of important implications for future educational practice.

Mathematics training for the teaching of basic knowledge in times of teaching school reform of Parana (Year 1920

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Iara da Silva França

2016-06-01

Full Text Available Abstract The article discusses the mathematical training of primary teachers in Paraná and aims to understand how elementary mathematical knowledge was included in the reform carried out by Lysimaco Ferreira da Costa, in the 1920’s and directed by Prieto Martinez for the modernization of the state’s primary education. Supported by theoretical and methodological framework of cultural history, this study is guided by the question: Considering the Reform of teaching school and thinking about the mathematics education of Paraná teachers, what has changed, why has it changed and what for? With the reform subjects more focused on practical teaching in primary school were introduced, and that favored the renewal of teaching methods and teaching resources, curriculum reorganization which reflected in the quality of Math education of future teachers in the state’s primary education. Keywords: Mathematics Teaching. Primary Education Teacher. History of Education.

Effects of Mathematics Integration in a Teaching Methods Course on Mathematics Ability of Preservice Agricultural Education Teachers

Science.gov (United States)

Stripling, Christopher T.; Roberts, T. Grady

2014-01-01

The purpose of this study was to determine the effects of incorporating mathematics teaching and integration strategies (MTIS) in a teaching methods course on preservice agricultural teachers' mathematics ability. The research design was quasi-experimental and utilized a nonequivalent control group. The MTIS treatment had a positive effect on the…

Caring teaching practices in multiethnic mathematics classrooms: attending to health and well-being

Science.gov (United States)

Averill, Robin

2012-06-01

Factors that contribute to strong teacher-student relationships are vital to understand because of the influence these relationships have on achievement and motivation, particularly for minority group students. This article draws from a substantial quantity of empirical data, grounded in a wide theoretical and cultural base, regarding aspects of caring teacher practice to discuss mathematics teacher behaviours in relation to an existing model of health and well-being that encompasses cognitive, social, spiritual, and physical dimensions. Drawing from 100 Year 10 mathematics lesson observations involving six teachers and their classes across three urban schools, evidence emerged that for many indigenous (Māori), New Zealand Pacific, and New Zealand European students, caring teacher behaviours important for student engagement and achievement both include, and range beyond, traditional teaching practices. Examples include capitalising on student reactions and shared endeavours within the context of mathematics learning, expecting mathematical progress, showing respect for students and for their mathematics learning, being explicit about practice and expectations, incorporating one-to-one interactions, making opportunities within mathematics learning for sharing personal identities, and incorporating movement. This research illustrates how mathematics educators can attend to the specific and holistic mathematical learning needs of their students, including those often marginalised.

Effectiveness of Mathematics Teaching and Learning Experiences through Wireless Technology as Recent Style to Enhance B.Ed. Trainees

Science.gov (United States)

Joan, D. R. Robert

2015-01-01

The objective of the study was to find out the effect of learning through Wireless technologies and the traditional method in teaching and learning Mathematics. The investigator adopted experimental research to find the effectiveness of implementing Wireless technologies in the population of B.Ed. trainees. The investigator selected 32 B.Ed.…

Implementing the Standards. Teaching Discrete Mathematics in Grades 7-12.

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Hart, Eric W.; And Others

1990-01-01

Discrete mathematics are defined briefly. A course in discrete mathematics for high school students and teaching discrete mathematics in grades 7 and 8 including finite differences, recursion, and graph theory are discussed. (CW)

There is More to the Teaching and Learning of Mathematics Than the Use of Local Languages: Mathematics Teacher Practices

Directory of Open Access Journals (Sweden)

Nancy Chitera

2016-11-01

Full Text Available In this article, we present a discussion about the type of mathematical discourse that is being produced in classrooms where the language of learning and teaching is local languages.  We also further explore the tensions in the mathematical discourse being produced. The study sample was 4 mathematics teachers from a semi-urban primary school in Malawi. The methods of data collection included classroom observations, pre-observation focus group discussions and reflective interviews. The results show that even though both students and teachers were able to communicate freely in local languages in the mathematics classroom, the mathematical discourse that came was distorted. This is mainly caused by lack of a well-developed mathematical discourse in local languages, which in turn takes away the confidence of mathematics teachers in the classroom. As a result, the mathematics classrooms are still being characterized by teachers not being creative, use of word by word from books, focus more on procedural than conceptual and thus teacher centered is still dominant in these classrooms. Furthermore, it is found that there are tensions between the formal and informal mathematical language in local languages. These results in turn have promoted a more in-depth understanding to the teaching and learning of mathematics when local language is the language of learning and teaching. Therefore, this article argues for a well-balanced approach when it comes to teaching and learning of mathematics rather than just focusing on the use of local languages.

Preservice Teachers' Perceptions about Teaching Mathematics through Music

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An, Song A.; Tillman, Daniel; Shaheen, Andrea; Boren, Rachel

2014-01-01

This study examined preservice teachers' perceptions about teaching elementary level mathematics lessons integrated with music. It also sought to determine how preservice teachers would strategize the integration of music activities when introducing elementary level mathematics lessons. The participants, 53 undergraduate preservice teachers at a…

The role of mathematics for physics teaching and understanding

International Nuclear Information System (INIS)

Pospiech, G; Geyer, M.A.; Eylon, B.; Bagno, E.; Lehavi, Y.

2015-01-01

That mathematics is the “language of physics” implies that both areas are deeply interconnected, such that often no separation between “pure” mathematics and “pure” physics is possible. To clarify their interplay a technical and a structural role of mathematics can be distinguished. A thorough understanding of this twofold role in physics is also important for shaping physics education especially with respect to teaching the nature of physics. Herewith the teachers and their pedagogical content knowledge play an important role. Therefore we develop a model of PCK concerning the interplay of mathematics and physics in order to provide a theoretical framework for the views and teaching strategies of teachers. In an exploratory study four teachers from Germany and four teachers from Israel have been interviewed concerning their views and its transfer to teaching physics. Here we describe the results from Germany. Besides general views and knowledge held by all or nearly all teachers we also observe specific individual focus depending on the teachers’ background and experiences. The results fit well into the derived model of PCK.

The role of mathematics for physics teaching and understanding

Science.gov (United States)

Pospiech, Gesche; Eylon, BatSheva; Bagno, Esther; Lehavi, Yaron; Geyer, Marie-Annette

2016-05-01

-1That mathematics is the "language of physics" implies that both areas are deeply interconnected, such that often no separation between "pure" mathematics and "pure" physics is possible. To clarify their interplay a technical and a structural role of mathematics can be distinguished. A thorough understanding of this twofold role in physics is also important for shaping physics education especially with respect to teaching the nature of physics. Herewith the teachers and their pedagogical content knowledge play an important role. Therefore we develop a model of PCK concerning the interplay of mathematics and physics in order to provide a theoretical framework for the views and teaching strategies of teachers. In an exploratory study four teachers from Germany and four teachers from Israel have been interviewed concerning their views and its transfer to teaching physics. Here we describe the results from Germany. Besides general views and knowledge held by all or nearly all teachers we also observe specific individual focus depending on the teachers' background and experiences. The results fit well into the derived model of PCK.

[Comparative analysis of the efficacy of a playful-narrative program to teach mathematics at pre-school level].

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Gil Llario, M D; Vicent Catalá, Consuelo

2009-02-01

Comparative analysis of the efficacy of a playful-narrative program to teach mathematics at pre-school level. In this paper, the effectiveness of a programme comprising several components that are meant to consolidate mathematical concepts and abilities at the pre-school level is analyzed. The instructional methodology of this programme is compared to other methodologies. One-hundred 5-6 year-old children made up the sample that was distributed in the following conditions: (1) traditional methodology; (2) methodology with perceptual and manipulative components, and (3) methodology with language and playful components. Mathematical competence was assessed with the Mathematical Criterial Pre-school Test and the subtest of quantitative-numeric concepts of BADyG. Participants were evaluated before and after the academic course during which they followed one of these methodologies. The results show that the programme with language and playful components is more effective than the traditional methodology (p<.000) and also more effective than the perceptual and manipulative methodology (p<.000). Implications of the results for instructional practices are analyzed.

Blending Online and Traditional Instruction in the Mathematics Classroom.

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Abrams, Gene; Haefner, Jeremy

2002-01-01

Describes the MathOnline system at the University of Colorado (Colorado Springs), a learning delivery method that, in addition to blending synchronous and asynchronous learning, combines traditional mathematics instruction with distance learning. Student surveys indicate the system greatly enhances traditional learners' educational experiences…

EFFECTIVENESS OF FOLK MATHEMATICS ON ACHIEVEMENT AT SECONDARY LEVEL STUDENT

OpenAIRE

Mrs. K. K. Sumathi

2016-01-01

The present study is aimed at finding the effectiveness of folk mathematics on achievement at secondary level student. It was an experimental method conducted on secondary school students in teaching mathematics for seventh standard. The result concluded by the investigator was that the effect of folk mathematics was better than the traditional method of teaching.

Using History to Teach Mathematics: The Case of Logarithms

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Panagiotou, Evangelos N.

2011-01-01

Many authors have discussed the question why we should use the history of mathematics to mathematics education. For example, Fauvel (For Learn Math, 11(2): 3-6, 1991) mentions at least fifteen arguments for applying the history of mathematics in teaching and learning mathematics. Knowing how to introduce history into mathematics lessons is a more difficult step. We found, however, that only a limited number of articles contain instructions on how to use the material, as opposed to numerous general articles suggesting the use of the history of mathematics as a didactical tool. The present article focuses on converting the history of logarithms into material appropriate for teaching students of 11th grade, without any knowledge of calculus. History uncovers that logarithms were invented prior of the exponential function and shows that the logarithms are not an arbitrary product, as is the case when we leap straight in the definition given in all modern textbooks, but they are a response to a problem. We describe step by step the historical evolution of the concept, in a way appropriate for use in class, until the definition of the logarithm as area under the hyperbola. Next, we present the formal development of the theory and define the exponential function. The teaching sequence has been successfully undertaken in two high school classrooms.

The Native Language in Teaching Kindergarten Mathematics

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Espada, Janet P.

2012-01-01

The use of the native language as a medium of instruction is believed to be the fastest and most natural route towards developing a strong foundation in mathematics literacy (Mimaropa, In D.O.No. 74, s.2009). This study examined the effect of using the native language in the teaching of kindergarten mathematics. A total of 34 five to six year old…

The enhancement of students' mathematical self-efficacy through teaching with metacognitive scaffolding approach

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Prabawanto, S.

2018-05-01

This research aims to investigate the enhancement of students’ mathematical self- efficacy through teaching with metacognitive scaffolding approach. This research used a quasi- experimental design with pre-post respon control. The subjects were pre-service elementary school teachers in a state university in Bandung. In this study, there were two groups: experimental and control groups. The experimental group consists of 60 students who acquire teaching mathematics under metacognitive approach, while the control group consists of 58 students who acquire teaching mathematics under direct approach. Students were classified into three categories based on the mathematical prior ability, namely high, middle, and low. Data collection instruments consist of mathematical self-efficacy instruments. By using mean difference test, two conclusions of the research: (1) there is a significant difference in the enhancement of mathematical self-efficacy between the students who attended the course under metacognitive scaffolding approach and students who attended the course under direct approach, and (2) there is no significant interaction effect of teaching approaches and ability level based on the mathematical prior ability toward enhancement of students’ mathematical self-efficacy.

The roles of games in teaching and learning of mathematics in junior ...

African Journals Online (AJOL)

The roles of games in teaching and learning of mathematics in junior secondary schools. ... The research seeks to enhance the status of games in teaching mathematics in junior secondary schools curriculum ... AJOL African Journals Online.

Teaching by Open-Approach Method in Japanese Mathematics Classroom.

Science.gov (United States)

Nohda, Nobuhiko

Mathematics educators in Japan have traditionally emphasized mathematical perspectives in research and practice. This paper features an account of changes in mathematics education in Japan that focus on the possibilities of individual students as well as their mathematical ways of thinking. Students' mathematical thinking, mathematical…

Exploring teachers' practices in teaching Mathematics and Statistics ...

African Journals Online (AJOL)

Teaching approaches and assessment practices are key factors that contribute to the improvement of learner outcomes. The study on which this article is based, explored the methods used by KwaZulu-Natal (KZN) teachers in teaching and assessing mathematics and statistics. An instrument containing closed and ...

Good Mathematics Teaching from Mexican High School Students' Perspective

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Martinez-Sierra, Gustavo

2014-01-01

This paper reports a qualitative research that identifies the characteristics of good mathematics teaching from the perspective of Mexican high school students. For this purpose, the social representations of a good mathematics teacher and a good mathematics class were identified in a group of 67 students. In order to obtain information, a…

Utilizing Microsoft Mathematics in Teaching and Learning Calculus

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Oktaviyanthi, Rina; Supriani, Yani

2015-01-01

The experimental design was conducted to investigate the use of Microsoft Mathematics, free software made by Microsoft Corporation, in teaching and learning Calculus. This paper reports results from experimental study details on implementation of Microsoft Mathematics in Calculus, students' achievement and the effects of the use of Microsoft…

The Language of Teaching Mathematics: Implications for Training ITAs.

Science.gov (United States)

Byrd, Patricia; Constantinides, Janet C.

1992-01-01

Because of national concern about the effect of having basic college mathematics courses taught by so many international teaching assistants whose English skills may be limited, this paper reports on the use of language in teaching by regular college faculty, rather than teaching assistants, at Georgia State University. (eight references)…

Teaching (Un)Connected Mathematics: Two Teachers' Enactment of the Pizza Problem

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Hill, Heather C.; Charalambous, Charalambos Y.

2012-01-01

This paper documents the ways mathematical knowledge for teaching (MKT) and curriculum materials appear to contribute to the enactment of a 7th grade "Connected Mathematics Project" lesson on comparing ratios. Two teachers with widely differing MKT scores are compared teaching this lesson. The comparison of the teachers' lesson enactments suggests…

Utilizing Microsoft Mathematics In Teaching And Learning Calculus

Directory of Open Access Journals (Sweden)

Rina Oktaviyanthi

2015-10-01

Full Text Available The experimental design was conducted to investigate the use of Microsoft Mathematics, free software made by Microsoft Corporation, in teaching and learning Calculus. This paper reports results from experimental study details on implementation of Microsoft Mathematics in Calculus, students’ achievement and the effects of the use of Microsoft Mathematics on students’ attitudes in relation to such experience. Two classes of the students from the first year student in Universitas Serang Raya were participated in the study. This study found that students who taught by using Microsoft Mathematics had higher achievement and has a positive effect on students’ confidence of mathematics.

What Software to Use in the Teaching of Mathematical Subjects?

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Berežný, Štefan

2015-01-01

We can consider two basic views, when using mathematical software in the teaching of mathematical subjects. First: How to learn to use specific software for the specific tasks, e. g., software Statistica for the subjects of Applied statistics, probability and mathematical statistics, or financial mathematics. Second: How to learn to use the…

THE ROLE AND SIGNIFICANCE OF HOMEWORK IN INITIAL MATHEMATICS TEACHING

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Sead Rešić

2013-02-01

Full Text Available This thesis elaborates on the role and importance of homework in the initial stages of teaching mathematics. The aim is to determine and analyze the degree of burden on students with homework. The following tasks were performed as a starting point for this research: determining the degree of correlation between the time that student spends on weekly homework and the student’s homework amount determinedby the pedagogical norm, determining the level of parents’ participation in helping students with homework, etermining the degree of correlation of differentiation of homework with the students' motivation for doing homework. Homework plays an important role in the initial stages of teaching mathematics, and takes up a significant place in the process of studying and teaching mathematics. The results, analysis, and conclusions are presented upon research.

Amongst mathematicians teaching and learning mathematics at university level

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Nardi, Elena

2008-01-01

"Amongst Mathematicians" offers a unique perspective on the ways in which mathematicians perceive their students' learning, the way they teach and reflect on those teaching practices. Elena Nardi employs fictional characters to create a conversation on these important issues. While personas are created, the facts incorporated into their stories are based on large bodies of data including intense focus groups comprised of mathematicians and mathematics education.This book further develops analyses of the data and demonstrates the pedagogical potential that lies in collaborative research that engages educators, researchers, and students in undergraduate mathematics education. Nardi also addresses the need for action in undergraduate mathematics education by creating discourse for reform and demonstrating the feasibility and potential of collaboration between mathematicians and researchers. "Amongst Mathematicians" is of interest to the entire mathematics community including teacher educators, undergraduate and ...

Learning to Teach Mathematics Specialists in a Synchronous Online Course: A Self-Study

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Hjalmarson, Margret A.

2017-01-01

This article uses a self-study research methodology to explore teaching an online course for mathematics specialists. The course included weekly videoconferencing sessions and focused on supporting their development as mathematics coaches working with K-8 teachers to enhance mathematics teaching and learning. The central question for the…

A Framework for Describing Mathematics Discourse in Instruction and Interpreting Differences in Teaching

Science.gov (United States)

Adler, Jill; Ronda, Erlina

2015-01-01

We describe and use an analytical framework to document mathematics discourse in instruction (MDI), and interpret differences in mathematics teaching. MDI is characterised by four interacting components in the teaching of a mathematics lesson: exemplification (occurring through a sequence of examples and related tasks), explanatory talk (talk that…

CDM: Teaching Discrete Mathematics to Computer Science Majors

Science.gov (United States)

Sutner, Klaus

2005-01-01

CDM, for computational discrete mathematics, is a course that attempts to teach a number of topics in discrete mathematics to computer science majors. The course abandons the classical definition-theorem-proof model, and instead relies heavily on computation as a source of motivation and also for experimentation and illustration. The emphasis on…

Didactital design of mathematics teaching in primary school

Science.gov (United States)

Nur’aeni, E.; Muharram, M. R. W.

2018-05-01

The fact that the low ability of geometrical understanding of primary school students is what triggers this study to be conducted. Thus, this research aimed to find out how to create a didactical design of students' mathematical understanding, particularly on one of geometry materials that is unit of length. A qualitative approach promoting Didactical Design Research (DDR) was administered in this study. Participants of the study were primary school students in Tasikmalaya, an city in West Java Province, Indonesia. The results show that there was a learning design based on learning obstacles found in the mathematics teaching and learning processes. The learning obstacles comprised students' difficulties in memorizing, relating, and operating the standards of unit of lengths. It has been proven that the most influential factor in the success of mathematics teaching and learning processes is the use of creative media.

Theoretical Basics of Teaching Discrete Mathematics

Directory of Open Access Journals (Sweden)

Y. A. Perminov

2012-01-01

Full Text Available  The paper deals with the research findings concerning the process of mastering the theoretical basics of discrete mathematics by the students of vocational pedagogic profile. The methodological analysis is based on the subject and functions of the modern discrete mathematics and its role in mathematical modeling and computing. The modern discrete mathematics (i.e. mathematics of the finite type structures plays the important role in modernization of vocational training. It is especially rele- vant to training students for vocational pedagogic qualifications, as in the future they will be responsible for training the middle and the senior level specialists in engineer- ing and technical spheres. Nowadays in different industries, there arise the problems which require for their solving both continual – based on the classical mathematical methods – and discrete modeling. The teaching course of discrete mathematics for the future vocational teachers should be relevant to the target qualification and aimed at mastering the mathematical modeling, systems of computer mathematics and computer technologies. The author emphasizes the fundamental role of mastering the language of algebraic and serial structures, as well as the logical, algorithmic, combinatory schemes dominating in dis- crete mathematics. The guidelines for selecting the content of the course in discrete mathematics are specified. The theoretical findings of the research can be put into practice whilst developing curricula and working programs for bachelors and masters’ training. 

Understanding the Chinese Approach to Creative Teaching in Mathematics Classrooms

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Niu, Weihua; Zhou, Zheng; Zhou, Xinlin

2017-01-01

Using Amabile's componential theory of creativity as a framework, this paper analyzes how Chinese mathematics teachers achieve creative teaching through acquiring in-depth domain-specific knowledge in mathematics, developing creativity-related skills, as well as stimulating student interest in learning mathematics, through well-crafted,…

Quality of Teaching Mathematics and Learning Achievement Gains: Evidence from Primary Schools in Kenya

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Ngware, Moses W.; Ciera, James; Musyoka, Peter K.; Oketch, Moses

2015-01-01

This paper examines the contribution of quality mathematics teaching to student achievement gains. Quality of mathematics teaching is assessed through teacher demonstration of the five strands of mathematical proficiency, the level of cognitive task demands, and teacher mathematical knowledge. Data is based on 1907 grade 6 students who sat for the…

Teaching mathematical modelling through project work

DEFF Research Database (Denmark)

Blomhøj, Morten; Kjeldsen, Tinne Hoff

2006-01-01

are reported in manners suitable for internet publication for colleagues. The reports and the related discussions reveal interesting dilemmas concerning the teaching of mathematical modelling and how to cope with these through “setting the scene” for the students modelling projects and through dialogues......The paper presents and analyses experiences from developing and running an in-service course in project work and mathematical modelling for mathematics teachers in the Danish gymnasium, e.g. upper secondary level, grade 10-12. The course objective is to support the teachers to develop, try out...... in their own classes, evaluate and report a project based problem oriented course in mathematical modelling. The in-service course runs over one semester and includes three seminars of 3, 1 and 2 days. Experiences show that the course objectives in general are fulfilled and that the course projects...

The Educational Reform in Peru and the Challenge to Transform Teacher Education Programs. A Study of Future Teachers' Opportunities to Learn, Knowledge for Teaching, and Beliefs Related to Mathematics Teaching

Science.gov (United States)

Moreano Villena, Giovanna

2013-01-01

Peruvian students at both the elementary and the secondary level have shown poor results in evaluations of mathematics achievement in recent years. In addition, research has found that teachers are not implementing the curriculum as expected; traditional practices of teaching are still present in classrooms. These problems have driven a school…

A Mixed Methods Study of Teach for America Teachers' Mathematical Beliefs, Knowledge, and Classroom Teaching Practices during a Reform-Based University Mathematics Methods Course

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Swars, Susan Lee

2015-01-01

This mixed methods study examined the mathematical preparation of elementary teachers in a Teach for America (TFA) program, focal participants for whom there is scant extant research. Data collection occurred before and after a university mathematics methods course, with a particular focus on the participants' (n = 22) mathematical beliefs,…

Re-Envisaging the Teaching of Mathematics: One Student Teacher's Experience Learning to Teach Primary Mathematics in a Manner Congruent with the New Zealand Curriculum

Science.gov (United States)

Bailey, Judy

2013-01-01

Teacher education can provide opportunities for contributing towards a re-envisaging of the teaching and learning of mathematics in the primary classroom. This study documents the experiences of one student teacher who, during her mathematics education courses, embraced a perception of mathematics as a social, creative and experiential discipline.…

Teaching Mathematics to Lower Attainers: Dilemmas and Discourses

Science.gov (United States)

Alderton, Julie; Gifford, Sue

2018-01-01

This article draws on Foucault's concepts of power and discourse to explore the issues of teaching mathematics to low attainers in primary schools in England. We analyse a data set of interviews, from a larger study, with the mathematics teachers of one child across three years, showing how accountability practices, discourses of ability and…

Using a free open source software to teach mathematics

OpenAIRE

Botana, F.; Abánades, M. A.; Escribano Martínez, Jesús

2012-01-01

We present the experience of the authors teaching mathematics to freshmen engineering students with the help of the open source computer algebra system Sage. We describe some teaching resources and present an ad hoc distribution of Sage used by the authors.

Point-driven Mathematics Teaching. Studying and Intervening in Danish Classrooms

DEFF Research Database (Denmark)

Mogensen, Arne

secondary schools emphasize such points in their teaching. Thus, 50 randomly selected mathematics teachers are filmed in one grade 8 math lesson and the dialogue investigated. The study identifies large variations and many influential components. There seems to be room for improvement. In order to examine...... possibilities to strengthen the presence and role of mathematical points in teaching two intervention studies are conducted. First a focus group of 5 of the original 50 teachers from each school are offered peer coaching by the researcher. This study indicates that different teachers appreciate peer coaching...... be supported in significant changes to a point-oriented mathematics teaching. The teachers emphasized joint planning of study lessons, and they regarded the peer coaching after each of these lessons as valuable. The studies with the two teacher groups indicate different opportunities and challenges...

Effects of an Additional Mathematics Content Course on Elementary Teachers' Mathematical Beliefs and Knowledge for Teaching

Science.gov (United States)

Smith, Marvin E.; Swars, Susan L.; Smith, Stephanie Z.; Hart, Lynn C.; Haardorfer, Regine

2012-01-01

This longitudinal study examines the effects of changes in an elementary teacher preparation program on mathematics beliefs and content knowledge for teaching of two groups of prospective teachers (N = 276): (1) those who completed a program with three mathematics content courses and two mathematics methods courses and (2) those who completed a…

Teaching and Learning Mathematics from Primary Historical Sources

Science.gov (United States)

Barnett, Janet Heine; Lodder, Jerry; Pengelley, David

2016-01-01

Why would anyone think of teaching and learning mathematics directly from primary historical sources? We aim to answer this question while sharing our own experiences, and those of our students across several decades. We will first describe the evolution of our motivation for teaching with primary sources, and our current view of the advantages…

Examples in the Teaching of Mathematics: Teachers' Perceptions

Science.gov (United States)

Ng, Lay Keow; Dindyal, Jaguthsing

2015-01-01

As part of a study examining how teachers in Singapore select and use examples for teaching mathematics, 121 teachers from 24 secondary schools responded to three open-ended questions about the use of examples in teaching. The results show that students' abilities and the difficulty level of the examples were among the topmost considerations…

Learning within Context: Exploring Lesson Study as an Aid in Enhancing Teachers' Implementations, Conceptions, and Perceptions of the Mathematics Teaching Practices

Science.gov (United States)

Prince, Kyle

2016-01-01

With traditional teaching methods pervasive in the U.S., it is crucial that mathematics teacher educators and professional development leaders understand what methods result in authentic changes in classroom instruction. Lesson study presents a promising approach to developing reform-oriented instruction, as it is situated within the classroom,…

Establishing Validity of the Thai Mathematics Teaching Efficacy Beliefs Instrument

Science.gov (United States)

Matney, Gabriel; Jackson, Jack L., II.; Panarach, Yupadee

2016-01-01

This article presents our work in translating the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI) from English to Thai and our resulting investigation of validity with Thai preservice teachers. The translation process occurred over several meetings between two U.S. mathematics educators and one Thai mathematics educator. To check for…

The Functions of Function Discourse--University Mathematics Teaching from a Commognitive Standpoint

Science.gov (United States)

Viirman, Olov

2014-01-01

This paper addresses a topic within university mathematics education which has been somewhat underexplored: the teaching practices actually used by university mathematics teachers when giving lectures. The study investigates the teaching practices of seven Swedish university teachers on the topic of functions using a discursive approach, the…

Using a Virtual Classroom to Teach Online Mathematics

Science.gov (United States)

Lu, Yun

2011-01-01

The purpose of this study was to share the author's experience of using the virtual classroom when teaching online mathematics course. Various softwares including MyMathLab and Wimba are introduced and the teaching methods and tips are provided and analyzed. Results show that the use of the virtual classroom enhance the communication in the online…

A mathematics content course and teaching efficacy beliefs of undergraduate majors in education.

Science.gov (United States)

Alkhateeb, Haitham M; Abed, Adnan S

2003-10-01

This study was designed to assess the mathematics teaching efficacy beliefs of undergraduates in elementary education through a manipulative-based course in mathematics. Responses of 106 university undergraduates to the 21-item Mathematics Teaching Efficacy Beliefs administered as pre- and posttest without a control group showed a significant immediate postcourse change in their efficacy beliefs using dependent t test.

Defining culturally responsive teaching: The case of mathematics

Directory of Open Access Journals (Sweden)

Jenni L. Harding-DeKam

2014-12-01

Full Text Available Elementary classroom teachers in eight school districts across Colorado, United States, share the knowledge of their students’ home and community life, define culturally responsive mathematics based on the children they instruct, and give examples of how students learn math through culture in their classrooms. Findings from two interviews, classroom observations, and student artifacts reveal that teachers have an intimate cultural knowledge of the students in their classrooms, define culturally responsive mathematical practices consistent with research, use culturally responsive mathematics teaching for authentic learning, and express a need for additional professional development and curriculum support for culturally responsive mathematics instruction. Culturally responsive mathematics is important in elementary classrooms because it allows students to make personal connections to mathematics content.

Teaching Mathematics Bilingually for Kindergarten Students with Teaching Aids Based on Local Wisdom

Science.gov (United States)

Ambarini, Ririn; Setyaji, Arso; Suneki, Sri

2018-01-01

Language and Mathematics are both skills and knowledge that need to master well so that it can be the provision for students' future life when mingling with the community or society. Because of that the integration of teaching both language and Mathematics in bilingual Math learning will give many benefits to the students. They will learn not only…

Preschool Teachers' Perceived Math Anxiety and Self-Efficacy for Teaching Mathematics

Science.gov (United States)

Cook, Carolyn D.

2017-01-01

This study explored the relationship between math anxiety and perceived self-efficacy for teaching mathematics in preschool teachers. Perceptions of and attributions for the teachers' perceived math anxiety and perceived self-efficacy for teaching mathematics were also explored. The study employed a mixed-method design consisting of both…

[Applications of mathematical statistics methods on compatibility researches of traditional Chinese medicines formulae].

Science.gov (United States)

Mai, Lan-Yin; Li, Yi-Xuan; Chen, Yong; Xie, Zhen; Li, Jie; Zhong, Ming-Yu

2014-05-01

The compatibility of traditional Chinese medicines (TCMs) formulae containing enormous information, is a complex component system. Applications of mathematical statistics methods on the compatibility researches of traditional Chinese medicines formulae have great significance for promoting the modernization of traditional Chinese medicines and improving clinical efficacies and optimizations of formulae. As a tool for quantitative analysis, data inference and exploring inherent rules of substances, the mathematical statistics method can be used to reveal the working mechanisms of the compatibility of traditional Chinese medicines formulae in qualitatively and quantitatively. By reviewing studies based on the applications of mathematical statistics methods, this paper were summarized from perspective of dosages optimization, efficacies and changes of chemical components as well as the rules of incompatibility and contraindication of formulae, will provide the references for further studying and revealing the working mechanisms and the connotations of traditional Chinese medicines.

Mathematical knowledge in teaching of fraction concepts using diagrammatical approach

Science.gov (United States)

Veloo, Palanisamy Kathir; Puteh, Marzita

2017-05-01

Teachers need various types of knowledge in order to deliver various fraction concepts at elementary level. In this paper, Balls' framework (2008) or, Mathematical Knowledge for Teaching (MKT) is used as benchmark guideline. This paper investigates and explores component of MKT knowledge among eight experienced teachers of the primary school. Data was collected using paper pencil test, interview and video recording. This paper, narrowed to teacher's knowledge and their practices while teaching of various fractions concepts using diagrammatical approach in present of MKT. The data gathered from teachers were analyzed using thematic analysis techniques. The results indicated that teachers lack various components of MKT knowledge as a proposal by various researchers and assumed that teaching as procedural more than enough due to lack of deep understanding of mathematics and the various types of MKT is not required due to the present of practices in the mathematics classroom.

Revitalising Mathematics Classroom Teaching through Lesson Study (LS): A Malaysian Case Study

Science.gov (United States)

Lim, Chap Sam; Kor, Liew Kee; Chia, Hui Min

2016-01-01

This paper discusses how implementation of Lesson Study (LS) has brought about evolving changes in the quality of mathematics classroom teaching in one Chinese primary school. The Japanese model of LS was adapted as a teacher professional development to improve mathematics teachers' teaching practices. The LS group consisted of five mathematics…

Exploring grade 3 teachers' resistance to `take up' progressive mathematics teaching roles

Science.gov (United States)

Westaway, Lise; Graven, Mellony

2018-03-01

This article addresses the question: Why teachers of mathematics have yet to `take up' progressive roles? Drawing on the philosophy of critical realism and its methodological equivalent, social realism, we analyse interview and observation data of four grade 3 teachers, with the view to identifying the mechanisms conditioning the expression of teachers' identities. In so doing, we show how post-apartheid changes in systemic roles of teachers create contradictory tensions for teachers as these bring their own mathematical learning and teaching experiences into contradiction with the new post-apartheid roles they are mandated to enact. We examine how this contradiction, together with beliefs about mathematics, pedagogy and learners, is expressed in the teaching of grade 3 mathematics. We maintain that the complementarity between teachers' beliefs and old systemic roles provides an explanation for why teachers of grade 3 mathematics have yet to `take-up' progressive roles. The implications point to the need for teacher development that creates enablers that lead to changes in classroom practices that align with policy-designated, progressive roles in teaching mathematics.

Teaching Primary School Mathematics and Statistics: Evidence-Based Practice

Science.gov (United States)

Averill, Robin; Harvey, Roger

2010-01-01

Here is the only reference book you will ever need for teaching primary school mathematics and statistics. It is full of exciting and engaging snapshots of excellent classroom practice relevant to "The New Zealand Curriculum" and national mathematics standards. There are many fascinating examples of investigative learning experiences,…

On Teaching Problem Solving in School Mathematics

Directory of Open Access Journals (Sweden)

Erkki Pehkonen

2013-12-01

Full Text Available The article begins with a brief overview of the situation throughout the world regarding problem solving. The activities of the ProMath group are then described, as the purpose of this international research group is to improve mathematics teaching in school. One mathematics teaching method that seems to be functioning in school is the use of open problems (i.e., problem fields. Next we discuss the objectives of the Finnish curriculum that are connected with problem solving. Some examples and research results are taken from a Finnish–Chilean research project that monitors the development of problem-solving skills in third grade pupils. Finally, some ideas on “teacher change” are put forward. It is not possible to change teachers, but only to provide hints for possible change routes: the teachers themselves should work out the ideas and their implementation.

Learning via problem solving in mathematics education

Directory of Open Access Journals (Sweden)

Piet Human

2009-09-01

problem-solving movement, over the last twenty years, mathematics educators around the world started increasingly to appreciate the role of social interaction and mathematical discourse in classrooms, and to take into consideration the infl uence of the social, socio-mathematical and mathematical norms established in classrooms. This shift away from an emphasis on individualised instruction towards classroom practices characterised by rich and focused social interaction orchestrated by the teacher, became the second element, next to problem-solving, of what is now known as the “reform agenda”. Learning and teaching by means of problem-solving in a socially-interactive classroom, with a strong demand for conceptual understanding, is radically different from traditional expository teaching. However, contrary to commonly-held misunderstandings, it requires substantial teacher involvement. It also requires teachers to assume a much higher level of responsibility for the extent and quality of learning than that which teachers tended to assume traditionally. Over the last 10 years, teaching for and via problem solving has become entrenched in the national mathematics curriculum statements of many countries, and programs have been launched to induce and support teachers to implement it. Actual implementation of the “reform agenda” in classrooms is, however, still limited. The limited implementation is ascribed to a number of factors, including the failure of assessment practices to accommodate problem solving and higher levels of understanding that may be facilitated by teaching via problem solving, lack of clarity about what teaching for and via problem solving may actually mean in practice, and limited mathematical expertise of teachers. Some leading mathematics educators (for example, Schoenfeld, Stigler and Hiebert believe that the reform agenda specifi es classroom practices that are fundamentally foreign to culturally embedded pedagogical traditions, and hence

A Comparison of Pedagogical Practices and Beliefs in International and Domestic Mathematics Teaching Assistants

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Kim, Minsu

2014-01-01

International and domestic mathematics teaching assistants (MTAs) are a critical part of mathematics education because they teach a substantial portion of low-level mathematics courses at research institutions. Even if there are several factors to build on MTAs' pedagogical practices, MTAs' beliefs significantly influence the MTAs' practices. The…

Nursing Students Perceptions about Traditional and Innovative Teaching Strategies– A Pilot Study

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Sailaxmi Gandhi

2015-01-01

Full Text Available Background: Nursing education is undergoing tremendous changes with the changing needs of the rapidly changing society. A sound education system is the prerequisite for the development of any nation. Aim and Objectives: One way to enhance nursing education was to evaluate the learning perceptions of various teaching strategies in nursing education programs. The study was aimed to evaluate the student learning perception about traditional and modern teaching strategies among under graduate nursing students (N=44. Material and Methods: Post test only design was used to compare the learning perception of students about traditional and innovative teaching strategies (brain storming, concept mapping & problem based learning. One group was exposed to traditional teaching strategy and the other group was exposed to innovative teaching strategy about mental health assessment and therapeutic communication. Results: Findings indicated a statistically significant increase (p<0.006 in the learning perception among students exposed to innovative teaching strategies than those exposed to the lecture method at the end of 4 weeks. Conclusion: The results of this study indicate that students perceive innovative teaching strategies in a better way compared to the traditional teaching method as it enhances their motivation for learning, learner control, and self - directed learning abilities. However further evaluation with larger sample size is needed before it can replace traditional teaching methods in nursing education.

Musings on multiplication tables and associated mathematics and teaching practices

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Faaiz Gierdien

2009-09-01

Full Text Available This paper is based on my reflections on a deceptively simple tabular representation of a combined 12×12 multiplication table showing multiplier and multiplicand,starting at a time when I taught mathematics full time at a primary (elementary school through to my presentteaching of mathematics education modules to prospective teachers. A historically–motivated framework on the importance of tables as expressions of complex information in two–dimensional form is used to gain insight into and understand multiplication tables. Through this framework it is shown that the modal practice of “knowing one’s tables” in the primary grade levels is really about knowing sequenced and separated lists of whole number multiplications. In contrast, tabular multiplication sequences in a combined multiplication table can, through appropriate teaching practices, enable the discovery of multiple relationships beyond multiplication or arithmetic, resulting in significant mathematics that spans the grade levels. Implications for mathematics teacher education practice with its current focus mathematical knowledge for teaching, are considered.

Avoiding Misinterpretations of Piaget and Vygotsky: Mathematical Teaching without Learning, Learning without Teaching, or Helpful Learning-Path Teaching?

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Fuson, Karen C.

2009-01-01

This article provides an overview of some perspectives about special issues in classroom mathematical teaching and learning that have stemmed from the huge explosion of research in children's mathematical thinking stimulated by Piaget. It concentrates on issues that are particularly important for less-advanced learners and for those who might be…

Improving Mathematical Communication Ability and Self Regulation Learning Of Yunior High Students by Using Reciprocal Teaching

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Abdul Qohar

2013-01-01

Full Text Available This paper presents the findings from a posttest experiment control group design  by  using reciprocal teaching, conducted  in Indonesia University of Education to investigate students’ ability in mathematical communication and self regulated learning.  Subject of the study were 254 of 9th grade students from three junior high schools of high, medium, and low level in Bojonegoro, East Java.  The instruments of the study were an essay mathematical communication test, and a self regulated learning scale. The study found that reciprocal teaching took the best role among school  cluster  and students’ prior mathematics ability on students’ mathematical communication ability and self regulated learning as well.  The other finding were there was interaction between school cluster and teaching approaches, but was no interaction between students’ prior mathematics ability and teaching approaches on mathematical communication ability and  self regulated learning. Moreover, there was association between mathematical communication and self regulated learningKeywords: Reciprocal Teaching, Mathematical Communication, Self Regulated Learning DOI: http://dx.doi.org/10.22342/jme.4.1.562.59-74

Institutional traditions in teachers' manners of teaching

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Lundqvist, Eva; Almqvist, Jonas; Östman, Leif

2012-03-01

The aim of this article is to make a close case study of one teacher's teaching in relation to established traditions within science education in Sweden. The teacher's manner of teaching is analysed with the help of an epistemological move analysis. The moves made by the teacher are then compared in a context of educational philosophy and selective tradition. In the analyses the focus is to study the process of teaching and learning in action in institutionalised and socially shared practices. The empirical material consists of video recordings of four lessons with the same group of students and the same teacher. The students are all in Year 7 in a Swedish 9-year compulsory school. During these lessons the students work with a subject area called "Properties of materials". The results show that the teacher makes a number of different moves with regard to how to proceed and come to a conclusion about what the substances are. Many of these moves are special in that they indicate that the students need to be able to handle the procedural level of school science. These moves do not deal directly with the knowledge production process, but with methodological aspects. The function of the moves turns the students' attention from one source of knowledge to another. The moves are aimed at helping the students to help themselves, since it is through their own activity and their own thinking that learning takes place. This is characteristic in the teacher's manner of teaching. When compared in a context of educational philosophy, this manner of teaching has similarities with progressentialism; a mixture of essentialism and progressivism. This educational philosophy is a central aspect of what is called the academic tradition—a selective tradition common in science education in Sweden between 1960 and 1990.

The Multicultural Mathematics Classroom: Culturally Aware Teaching through Cooperative Learning & Multiple Representations

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Jao, Limin

2012-01-01

The National Council of Teachers of Mathematics (NCTM, 2000) has created a set of standards to reform mathematics teaching procedures to ensure that all students understand mathematics and learn to think mathematically. The standards also require teachers to use strategies that allow all students to reason and communicate mathematically and…

Written Mathematical Traditions in Ancient Mesopotamia: Knowledge, ignorance, and reasonable guesses

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Høyrup, Jens

of the latter tradition to type of writing after the Old Babylonian period is not well elucidated by the sources. Much worse, however, is the situation if we consider the sophisticated mathematics created during the Old Babylonian period. Its connection to the school institution and the new literate style......Writing, as well as various mathematical techniques, were created in proto-literate Uruk in order to serve accounting, and Mesopotamian mathematics as we know it was always expressed in writing. In so far, mathematics generically regarded was always part of the generic written tradition. However......, once we move away from the generic perspective, things become much less easy. If we look at basic numeracy from Uruk IV until Ur III, it is possible to point to continuity and thus to a “tradition”, and also if we look at place-value practical computation from Ur III onward – but already the relation...

Os limites do sentido no ensino da matemática The limits of meaning in the teaching of mathematics

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Maria da Conceição Ferreira Fonseca

1999-06-01

mathematics in Brazil, remarking that all of them, seeking for a meaning, go beyond the mathematical contents. In the present work we paraphrase Guimarães’ text, and take such current trends in the teaching of mathematics (problem solving, modeling, constructivism, ethnomathematics, and what David refers as a teaching committed to social change trying to identify in them the search for a meaning for the teaching of mathematics. This is done through the re-inclusion of those same elements that were excluded from Linguistics by Sausurre, and neglected by more traditional approaches to school mathematics. What the analysis tries to point out is how the search for meaning in the teaching of mathematics takes a path analogous to that identified by Guimarães in studies of language: the effort to re-include in the approach to school mathematics those elements traditionally excluded: the object, the subject and the history.

Unpacking Personal Identities for Teaching Mathematics within the Context of Prospective Teacher Education

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Hodges, Thomas E.; Hodge, Lynn Liao

2017-01-01

This article explores the personal identities of two prospective elementary teachers as they progressed from mathematics methods coursework into their capstone student teaching semester. Results indicate that both prospective teachers perceived contrasting obligations of effective mathematics teaching in the teacher education and student teaching…

Exploration of Pre-Service Teachers' Beliefs in Relation to Mathematics Teaching Activities in Classroom-Based Setting

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Kul, Umit; Celik, Sedef

2017-01-01

This paper has been conducted to determine future teachers' mathematical beliefs and to explore the relationship between their mathematical beliefs and initial teaching practice in a classroom setting, in terms of how they design the content of teaching activities, they employed the style of teaching in mathematics, and they engaged with pupils. A…

Application of blended learning in teaching statistical methods

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Barbara Dębska

2012-12-01

Full Text Available The paper presents the application of a hybrid method (blended learning - linking traditional education with on-line education to teach selected problems of mathematical statistics. This includes the teaching of the application of mathematical statistics to evaluate laboratory experimental results. An on-line statistics course was developed to form an integral part of the module ‘methods of statistical evaluation of experimental results’. The course complies with the principles outlined in the Polish National Framework of Qualifications with respect to the scope of knowledge, skills and competencies that students should have acquired at course completion. The paper presents the structure of the course and the educational content provided through multimedia lessons made accessible on the Moodle platform. Following courses which used the traditional method of teaching and courses which used the hybrid method of teaching, students test results were compared and discussed to evaluate the effectiveness of the hybrid method of teaching when compared to the effectiveness of the traditional method of teaching.

Experiencing teaching and learning quantitative reasoning in a project-based context

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Muir, Tracey; Beswick, Kim; Callingham, Rosemary; Jade, Katara

2016-12-01

This paper presents the findings of a small-scale study that investigated the issues and challenges of teaching and learning about quantitative reasoning (QR) within a project-based learning (PjBL) context. Students and teachers were surveyed and interviewed about their experiences of learning and teaching QR in that context in contrast to teaching and learning mathematics in more traditional settings. The grade 9-12 student participants were characterised by a history of disengagement with mathematics and school in general, and the teacher participants were non-mathematics specialist teachers. Both students and teachers were new to the PjBL situation, which resulted in the teaching/learning relationship being a reciprocal one. The findings indicated that students and teachers viewed QR positively, particularly when compared with traditional mathematics teaching, yet tensions were identified for aspects such as implementation of curriculum and integration of relevant mathematics into projects. Both sets of participants identified situations where learning QR was particularly successful, along with concerns or difficulties about integrating QR into project work. The findings have implications for educators, who may need to examine their own approaches to mathematics teaching, particularly in terms of facilitating student engagement with the subject.

A Professional Experience Model for Primary Pre-Service Teachers Specialising in Mathematics

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McMaster, Heather; Cavanagh, Michael

2016-01-01

Many primary pre-service teachers (PSTs) who are enthused by tertiary courses that espouse and model a socio-constructivist approach to teaching mathematics, revert to a traditional approach when they encounter mathematics teaching during professional experience. An intervention was designed to translate the initial pedagogical intent of four…

Validation of an instrument for mathematics enhancement teaching efficacy of Pacific Northwest agricultural educators

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Jansen, Daniel J.

Teacher efficacy continues to be an important area of study in educational research. This study tested an instrument designed to assess the perceived efficacy of agricultural education teachers when engaged in lessons involving mathematics instruction. The study population of Oregon and Washington agricultural educators utilized in the validation of the instrument revealed important demographic findings and specific results related to teacher efficacy for the study population. An instrument was developed from the assimilation of three scales previously used and validated in efficacy research. Participants' mathematics teaching efficacy was assessed using a portion of the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI), and personal mathematics efficacy was evaluated by the mathematics self-belief instrument which was derived from the Betz and Hackett's Mathematics Self-Efficacy Scale. The final scale, the Teachers' Sense of Efficacy Scale (TSES) created by Tschannen-Moran and Woolfolk Hoy, examined perceived personal teaching efficacy. Structural equation modeling was used as the statistical analyses tool to validate the instrument and examine correlations between efficacy constructs used to determine potential professional development needs of the survey population. As part of the data required for validation of the Mathematics Enhancement Teaching Efficacy instrument, demographic information defining the population of Oregon and Washington agricultural educators was obtained and reported. A hypothetical model derived from teacher efficacy literature was found to be an acceptable model to verify construct validity and determine strength of correlations between the scales that defined the instrument. The instrument produced an alpha coefficient of .905 for reliability. Both exploratory and confirmatory factor analyses were used to verify construct and discriminate validity. Specifics results related to the survey population of agricultural educators

The enhancement of students' mathematical problem solving ability through teaching with metacognitive scaffolding approach

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Prabawanto, Sufyani

2017-05-01

This research aims to investigate the enhancement of students' mathematical problem solving through teaching with metacognitive scaffolding approach. This research used a quasi-experimental design with pretest-posttest control. The subjects were pre-service elementary school teachers in a state university in Bandung. In this study, there were two groups: experimental and control groups. The experimental group consists of 60 studentswho acquire teaching mathematicsunder metacognitive scaffolding approach, while the control group consists of 58 studentswho acquire teaching mathematicsunder direct approach. Students were classified into three categories based on the mathematical prior ability, namely high, middle, and low. Data collection instruments consist of mathematical problem solving test instruments. By usingmean difference test, two conclusions of the research:(1) there is a significant difference in the enhancement of mathematical problem solving between the students who attended the course under metacognitive scaffolding approach and students who attended the course under direct approach, and(2) thereis no significant interaction effect of teaching approaches and ability level based on the mathematical prior ability toward enhancement of students' mathematical problem solving.

A Modified Moore Approach to Teaching Mathematical Statistics: An Inquiry Based Learning Technique to Teaching Mathematical Statistics

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McLoughlin, M. Padraig M. M.

2008-01-01

The author of this paper submits the thesis that learning requires doing; only through inquiry is learning achieved, and hence this paper proposes a programme of use of a modified Moore method in a Probability and Mathematical Statistics (PAMS) course sequence to teach students PAMS. Furthermore, the author of this paper opines that set theory…

Exploration of Factors Related to the Development of Science, Technology, Engineering, and Mathematics Graduate Teaching Assistants' Teaching Orientations

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Gilmore, Joanna; Maher, Michelle A.; Feldon, David F.; Timmerman, Briana

2014-01-01

Research indicates that modifying teachers' beliefs about learning and teaching (i.e. teaching orientation) may be a prerequisite to changing their teaching practices. This mixed methods study quantitized data from interviews with 65 graduate teaching assistants (GTAs) from science, technology, engineering, and mathematics (STEM) fields to assess…

Examining Primary Pre-Service Teachers' Difficulties of Mathematics Teaching with the Micro-Teaching Method

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Savas Basturk; Tastepe, Mehtap

2015-01-01

The purpose of the study was to examine primary pre-service teachers' difficulties of the teaching of mathematics with micro-teaching method. The participants of the study were 15 third grade pre-service teachers from the department of primary education in the faculty of education. In this grade which includes four sections, there were…

Teachers' Perceptions of Teaching Mathematics at the Senior Secondary Level in Fiji

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Dayal, Hem Chand

2013-01-01

In recent times, there has been considerable interest shown in the affective domain of mathematics education with research findings pointing out that affective variables have profound impact on classroom practices of mathematics teachers. In other words, teachers' conceptions of mathematics and mathematics teaching are greatly influenced by…

The Teaching Practices Inventory: A New Tool for Characterizing College and University Teaching in Mathematics and Science

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Gilbert, Sarah

2014-01-01

We have created an inventory to characterize the teaching practices used in science and mathematics courses. This inventory can aid instructors and departments in reflecting on their teaching. It has been tested with several hundred university instructors and courses from mathematics and four science disciplines. Most instructors complete the inventory in 10 min or less, and the results allow meaningful comparisons of the teaching used for the different courses and instructors within a department and across different departments. We also show how the inventory results can be used to gauge the extent of use of research-based teaching practices, and we illustrate this with the inventory results for five departments. These results show the high degree of discrimination provided by the inventory, as well as its effectiveness in tracking the increase in the use of research-based teaching practices. PMID:25185237

Web-Based Implementation of Discrete Mathematics

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Love, Tanzy; Keinert, Fritz; Shelley, Mack

2006-01-01

The Department of Mathematics at Iowa State University teaches a freshman-level Discrete Mathematics course with total enrollment of about 1,800 students per year. The traditional format includes large lectures, with about 150 students each, taught by faculty and temporary instructors in two class sessions per week and recitation sections, with…

Where is the bigger picture in the teaching and learning of mathematics?

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Satsope Maoto

2016-11-01

Full Text Available This article presents an interpretive analysis of three different mathematics teaching cases to establish where the bigger picture should lie in the teaching and learning of mathematics. We use pre-existing data collected through pre-observation and post-observation interviews and passive classroom observation undertaken by the third author in two different Grade 11 classes taught by two different teachers at one high school. Another set of data was collected through participant observation of the second author’s Year 2 University class. We analyse the presence or absence of the bigger picture, especially, in the teachers’ questioning strategies and their approach to content, guided by Tall’s framework of three worlds of mathematics, namely the ‘conceptual-embodied’ world, the ‘proceptual-symbolic’ world and the ‘axiomatic-formal’ world. Within this broad framework we acknowledge Pirie and Kieren’s notion of folding back towards the attainment of an axiomatic-formal world. We argue that the teaching and learning of mathematics should remain anchored in the bigger picture and, in that way, mathematics is meaningful, accessible, expandable and transferable.

Pre-service teachers' experiences teaching secondary mathematics in English-medium schools in Tanzania

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Kasmer, Lisa

2013-09-01

In order to promote mathematical understanding among English Language Learners (ELLs), it is necessary to modify instructional strategies to effectively communicate mathematical content. This paper discusses the instructional strategies used by four pre-service teachers to teach mathematics to secondary students in English-medium schools in Arusha, Tanzania as a result of the tensions they faced and reflections on their teaching. Strategies such as code switching, attending to sentence structure, non-linguistic representations, and placing the content within a familiar context proved to be beneficial strategies for conveying mathematical ideas.

A Study of Early Childhood Mathematics Teaching in the United States and China

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Li, Xia; Chi, Liping; DeBey, Mary; Baroody, Arthur J.

2015-01-01

Research Findings: The present study involved using a questionnaire to investigate the mathematics teaching practices of 74 U.S. and 67 Chinese early childhood teachers. Quantitative and qualitative analyses yielded several key findings. First, U.S. teachers are less intentional in mathematics teaching than their Chinese counterparts.…

Developing a Deeper Understanding of "Mathematics Teaching Expertise": An Examination of Three Chinese Mathematics Teachers' Resource Systems as Windows into Their Work and Expertise

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Pepin, Birgit; Xu, Binyan; Trouche, Luc; Wang, Chongyang

2017-01-01

In order to develop a deeper understanding of mathematics teaching expertise, in this study we use the Documentational Approach to Didactics to explore the resource systems of three Chinese mathematics "expert" teachers. Exploiting the Western and Eastern literature we examine the notion of "mathematics teaching expertise", as…

Mathematical knowledge for teaching: Adding to the description through a study of probability in practice

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Mercy Kazima

2006-10-01

Full Text Available In their description of the mathematical work of teaching, Ball,  Bass & Hill (2004 describe the mathematical problem solving that teachers do as they go about their work. In this paper we add to this description through our study of teaching of probability in a grade 8 multilingual classroom in South Africa. We use instances of teaching to highlight the mathematical problem solving that teachers might face as they work with learners’ ideas, both expected and unexpected. We discuss  the restructuring of tasks as an inevitable feature of teachers’ work, and argue that in addition to scaling up or scaling down of the task as Ball et al. (2004 describe, restructuring can also entail shifting the mathematical outcomes from those intended. We also point out how well known issues in mathematics education, for example working with learners’ everyday knowledge, and the languages they bring to class, are highlighted by the context of probability, enabling additional insights into the mathematical work of teaching.

A Longitudinal Study on Mathematics Teaching Efficacy: Which Factors (Un)Support the Development?

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Isiksal-Bostan, Mine

2016-01-01

The aim of this longitudinal study was to examine prospective teachers' mathematics teaching efficacy belief during their enrollment in teacher education program and at the end of their first year of teaching. In addition, the factors that enhance or inhibit participants' efficacy belief and how these factors affect their mathematics teaching…

What Mathematics Teachers Say about the Teaching Strategies in the Implementation of Tasks

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Enríquez, Jakeline Amparo Villota; de Oliveira, Andréia María Pereira; Valencia, Heriberto González

2018-01-01

In this article we will discuss, through the explanations given by teachers who teach Mathematics, the importance of using teaching strategies in the implementation of tasks. Teachers who participated in it belong to the group "Observatory Mathematics Education" (OME-Bahia). This study was framed in a qualitative approach and data were…

Strategies Used to Teach Mathematics to Special Education Students from the Teachers' Perspective

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Brown, Desline A.

2016-01-01

The perspectives of special education teachers on the strategies used to teach mathematics to special education students were examined in this dissertation. Three central research questions that guided the study are: (a) What were New York special education teachers' opinions about the methods they use to teach mathematics to special education…

Technological pedagogical content knowledge and teaching practice of mathematics trainee teachers

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Tajudin, Nor'ain Mohd.; Kadir, Noor Zarinawaty Abd.

2014-07-01

This study aims to identify the level of technological pedagogical content knowledge (TPCK) of mathematics trainee teachers at Universiti Pendidikan Sultan Idris (UPSI) and explore their teaching practices during practical training at school. The study was conducted in two phases using a mix-method research. In the first phase, a survey method using a questionnaire was carried out on 156 trainee teachers of Bachelor of Mathematics Education (AT14) and Bachelor of Science (Mathematics) with Education (AT48). The instrument used was a questionnaire that measures the level of content knowledge, pedagogy, technology and TPCK of mathematics. Data were analyzed using descriptive statistics, namely the mean. While in the second phase, the interview method involved four trainee teachers were performed. The instrument used was the semi-structured interview protocol to assess the trainee teacher's TPCK integration in their teaching practice. Data were analyzed using the content analysis. The findings showed that the level of knowledge of TPCK among trainee teachers was moderate with overall mean score of 3.60. This level did not show significant differences between the two programs with mean scores of 3.601 for the AT14 group and 3.603 for the AT48 group. However, there was a difference for gender classification such that the female trainees had mean score of 3.58 and male trainees with mean score of 3.72. Although students' TPCK level was moderate, the level of content knowledge (CK), technological knowledge (TK) and pedagogical knowledge (PK), showed a higher level with overall mean scores of 3.75, 3.87 and 3.84 respectively. The findings also showed that in terms of content knowledge, trainee teacher's learning mathematics background was good, but the knowledge of mathematics was limited in the curriculum, philosophy and application aspect. In terms of pedagogical content knowledge, all respondents tend to use lecture and discussion methods in teaching Trigonometry topic

Teaching Mathematics for Spatial Justice: An Investigation of the Lottery

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Rubel, Laurie H.; Lim, Vivian Y.; Hall-Wieckert, Maren; Sullivan, Mathew

2016-01-01

This article explores integrating place-based education with critical mathematics toward teaching mathematics for spatial justice. "Local Lotto," a curricular module with associated digital tools, was designed to investigate the lottery as a critical spatial phenomenon and piloted in urban high schools. This article describes findings…

Mathematics Student Teachers' Epistemological Beliefs about the Nature of Mathematics and the Goals of Mathematics Teaching and Learning in the Beginning of Their Studies

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Viholainen, Antti; Asikainen, Mervi; Hirvonen, Pekka E.

2014-01-01

This article examines Finnish mathematics student teachers' epistemological beliefs concerning the nature of mathematics and the goals of mathematics teaching and learning solely in the beginning of their studies at university. A total of 18 students participated in a study consisting of a short questionnaire and interviews. The data was analyzed…

Measuring Practices of Teaching for Social Justice in Elementary Mathematics Classrooms

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Reagan, Emilie Mitescu; Pedulla, Joseph J.; Jong, Cindy; Cannady, Mac; Cochran-Smith, Marilyn

2011-01-01

This study used the Teaching for Social Justice Observation Scale (TSJOS) of the Reformed Teaching Observation Protocol-Plus (RTOP+) to examine the extent to which twenty-two novice elementary teachers implemented practices related to teaching for social justice in their mathematics instruction. In addition, this study sought to examine the extent…

TEACHERS WHO TEACH MATHEMATICS IN ADULT EDUCATION: CONCEPTS AND TEACHING PRACTICES

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Andréa Thees

2012-12-01

Full Text Available This work represents a subset of a Masters’ research, which investigated how the pedagogical and non-pedagogical professional practices of mathematics teachers who teach in adult education are developed. In this paper we present the curricular management practices, tasks and materials, communication and evaluation. Through a case study of the daily activities of three math teachers who teach young people and adults, a qualitative research was developed, whose investigative tools were field observations, semi-structured interviews and questionnaires. Our study indicated that curriculum management practices are determined by a straightforward exposition teaching style, based on problem solving. Regarding the proposed tasks, teachers do not resort to learning materials other than blackboard and chalk, and rarely use the textbook. Communication in the classroom is univocal, sometimes supplemented by inadequate metaphors, especially in the teaching of algebra. The practices of student evaluation are predominantly focused on the summative function.

Preservice to Inservice: Does Mathematics Anxiety Change with Teaching Experience?

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Gresham, Gina

2018-01-01

Inservice teachers, participants in a prior study on mathematics anxiety, were revisited to determine whether their levels of mathematics anxiety still existed and/or continued to change after 5 years teaching experience. A 98-item Likert-type survey, informal discussions, informal interviews, and questionnaire-guided narrative interviews were…

Experimental Design: Utilizing Microsoft Mathematics in Teaching and Learning Calculus

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Oktaviyanthi, Rina; Supriani, Yani

2015-01-01

The experimental design was conducted to investigate the use of Microsoft Mathematics, free software made by Microsoft Corporation, in teaching and learning Calculus. This paper reports results from experimental study details on implementation of Microsoft Mathematics in Calculus, students' achievement and the effects of the use of Microsoft…

Views of Elementary School Pre-Service Teachers About the Use of Educational Mathematics Games in Mathematics Teaching

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Hasan Topçu

2014-08-01

Full Text Available The aim of this study was to reveal the opinions of elementary school pre-service teachers about the usage of educational mathematics games in elementary mathematics teaching. In this study, case study that, one of qualitative research methods, was used. Data were collected by utilizing a semi-structured interview form to these elementary school pre-service teachers and analyzed using by content analysis method. A total of 10 junior pre-service teachers enrolled in undergraduate programs of elementary teaching attended to this research. In conclusion, these pre-service teachers indicated that educational computer games would provide benefits such as making students’ learning more permanent, visualizing concepts, making students love mathematics, learning by entertaining, reinforcing what has been learnt and developing thinking skills. Nevertheless, these elementary school pre-service teachers stated the limitations about educational computer games such as causing addiction and physical damages, being time-consuming, requiring special equipment and software and making class management difficult. Besides, it was revealed that the pre-service teachers demonstrated positive attitudes towards the use of games in courses while that they did not feel themselves competent in terms of application.Key Words:    Educational computer games, mathematics teaching, elementary school pre-service teachers

Exploring Relationships between Presage Variables of Florida Preservice Agricultural Education Teachers Related to Teaching Contextualized Mathematics

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Stripling, Christopher T.; Roberts, T. Grady

2013-01-01

The purpose of this exploratory study was to investigate the relationships between mathematics ability, personal mathematics efficacy, mathematics teaching efficacy, personal teaching efficacy, and background characteristics of preservice agricultural education teachers. Data were collected for two years at the University of Florida. Fourteen…

Contributions of Neuroscience to Develop Teaching Strategies and Learning of Mathematics

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Eddy Mogollón

2010-12-01

Full Text Available The goal of the present work is to develop some strategies based on research in neurosciences that contribute to the teaching and learning of mathematics. The interrelationship of education with the brain, as well as the relationship of cerebral structures with mathematical thinking was discussed. Strategies were developed taking into consideration levels that include cognitive, semiotic, language, affect and the overcoming of phobias to the subject. The fundamental conclusion was the imperative educational requirement in the near future of a new teacher, whose pedagogic formation must include the knowledge on the cerebral function, its structures and its implications to education, as well as a change in pedagogy and curricular structure in the teaching of mathematics.

What field school teachers say about the teaching of mathematics: A study in the Northeast of Brazil

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Carlos Monteiro

2014-04-01

Full Text Available The majority of research in mathematics education in Brazil focuses on aspects related to urban schools. Although there has been a discussion for decades about the need for a curriculum in schools located in rural areas that considers the importance of the local culture and the concept of context-based knowledge, there is still precarious teaching of mathematics in these schools. This paper discusses research data that addresses the teaching of mathematics in rural schools located in Pernambuco, Brazil. The method used is a qualitative research method based on interviews and discourse analysis. We focus on the discourse of teachers who participated in the empirical study by analyzing their views on rural education, the conceptualization of resources, and on their performance in mathematics teaching. Although most teachers positively evaluate their performance when they teach mathematics, they do not identify differences between teaching in the city and in rural areas. Generally, the teachers were unaware of the field schools' specificities. The results lead us to reflect on the possibilities of teaching mathematics to empower rural communities.

Music-Themed Mathematics Education as a Strategy for Improving Elementary Preservice Teachers' Mathematics Pedagogy and Teaching Self-Efficacy

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An, Song A.; Tillman, Daniel A.; Paez, Carlos R.

2015-01-01

This study investigated the effects upon elementary preservice teachers' mathematics teaching self-efficacy and interdisciplinary lesson design strategies, which resulted from an educational intervention that emphasized integrated music-mathematics instruction. The participating elementary preservice teachers (n = 152) were recruited for this…

Methodological Potential of Computer Experiment in Teaching Mathematics at University

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Lin, Kequan; Sokolova, Anna Nikolaevna; Vlasova, Vera K.

2017-01-01

The study is relevant due to the opportunity of increasing efficiency of teaching mathematics at university through integration of students of computer experiment conducted with the use of IT in this process. The problem of there search is defined by a contradiction between great potential opportunities of mathematics experiment for motivating and…

Is Tutoring Teaching? Exploring Tutoring's Potential to Improve Mathematics Teacher Education

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Rasche, Alexander N.

2017-01-01

This study investigated the tutoring practices of mathematics tutors working in one university tutoring center and the corresponding rationale exhibited by the mathematics tutors. This study illustrates how the tutoring practices of mathematics tutors align with the Eight Mathematics Teaching Practices outlined in NCTM's recent publication…

Characterization of mathematics instructional practises for prospective elementary teachers with varying levels of self-efficacy in classroom management and mathematics teaching

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Lee, Carrie W.; Walkowiak, Temple A.; Nietfeld, John L.

2017-03-01

The purpose of this study was to investigate the relationship between prospective teachers' (PTs) instructional practises and their efficacy beliefs in classroom management and mathematics teaching. A sequential, explanatory mixed-methods design was employed. Results from efficacy surveys, implemented with 54 PTs were linked to a sample of teachers' instructional practises during the qualitative phase. In this phase, video-recorded lessons were analysed based on tasks, representations, discourse, and classroom management. Findings indicate that PTs with higher levels of mathematics teaching efficacy taught lessons characterised by tasks of higher cognitive demand, extended student explanations, student-to-student discourse, and explicit connections between representations. Classroom management efficacy seems to bear influence on the utilised grouping structures. These findings support explicit attention to PTs' mathematics teaching and classroom management efficacy throughout teacher preparation and a need for formative feedback to inform development of beliefs about teaching practises.

Development of Contextual Mathematics teaching Material integrated related sciences and realistic for students grade xi senior high school

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Helma, H.; Mirna, M.; Edizon, E.

2018-04-01

Mathematics is often applied in physics, chemistry, economics, engineering, and others. Besides that, mathematics is also used in everyday life. Learning mathematics in school should be associated with other sciences and everyday life. In this way, the learning of mathematics is more realstic, interesting, and meaningful. Needs analysis shows that required contextual mathematics teaching materials integrated related sciences and realistic on learning mathematics. The purpose of research is to produce a valid and practical contextual mathematics teaching material integrated related sciences and realistic. This research is development research. The result of this research is a valid and practical contextual mathematics teaching material integrated related sciences and realistic produced

Dual Treatments as Starting Point for Integrative Perceptions in Teaching Mathematics

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Kërënxhi, Svjetllana; Gjoci, Pranvera

2015-01-01

In this paper, we recommend mathematical teaching through dual treatments. The dual treatments notion, classified in dual interpretations, dual analyses, dual solutions, and dual formulations, is explained through concrete examples taken from mathematical textbooks of elementary education. Dual treatments provide opportunities for creating…

South Dakota Middle School Mathematics Teachers' Perceptions of Teaching Competencies

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Bleecker, Heather A.

2017-01-01

This quantitative research study investigates South Dakota middle school (grades 5-8) mathematics teachers' perceptions of teaching competencies including general pedagogical knowledge (GPK) and mathematical pedagogical content knowledge (MPCK). The study also considered how teacher characteristics relate to teacher competencies. The study…

Teaching mathematics to able children

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Koshy, Valsa

2012-01-01

This book enables teachers to effectively meet the needs of their most able mathematicians. Using a tried and tested set of principles developed and used by The Able Children's Education Unit at Brunel University, the author demonstrates how to: identify high mathematical ability in a pupil, plan suitably challenging activities and teach them most effectively within the existing National Numeracy framework, make the most of the classroom resources available, including ICT and external agencies, implement strategies for differentiation, illustrated with real-life classroom examples. Ac

Scaffolding and Dialogic Teaching in Mathematics Education: Introduction and Review

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Bakker, Arthur; Smit, Jantien; Wegerif, Rupert

2015-01-01

This article has two purposes: firstly to introduce this special issue on scaffolding and dialogic teaching in mathematics education and secondly to review the recent literature on these topics as well as the articles in this special issue. First we define and characterise scaffolding and dialogic teaching and provide a brief historical overview…

Why Teach mathematics to Adults?

DEFF Research Database (Denmark)

Johansen, Lene Østergaard

2008-01-01

teachers. I distinguish analytically between three different discourses. The Political Discourse, The Curriculum Planner Discourse and The Mathematics Teachers Discourse. The discourses are analysed separately and I distinguish between explicit reasons and implicit reasons.       In the thesis I construct...... a framework or a tool for my analysis of the three discourses, which consists of three elements. I identify the explicit reasons asking the question "Why teach mathematics to adults?" to the texts of each discourse. To identify the implicit reasons, I assume that it is necessary to construct a need...... in all areas of life increases considerably with good (functional/basic) numeracy skills.    The analysis of the implicit reasons shows that the politicians construct a need for education through the way they talk about the demands of the labour market, the demands of the educational system, the demands...

Teachers\\' practical rationality of mathematics teaching and ...

African Journals Online (AJOL)

mathematics teaching as a practice and the way that teachers learn in such a practice. Conversations during interviews with the teachers in the sample indicate that SchoÈn\\'s notion of reflection-in-action is a key to understanding how teachers use their practical rationality as they try to understand nuanced meanings of the

The Realities of Teaching Elementary Mathematics by Student Teachers: A Phenomenological Probe

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Jo Ann M. Petancio

2018-02-01

Full Text Available This study probed into the lived experiences of the student-teachers as they go through teaching Elementary Mathematics. Apart from Mathematics, these student-teachers who are generalists teach the other seven subjects. This phenomenological study was conducted during the first semester, school year 2017-2018 in Cebu Normal University-Integrated Laboratory School in Cebu City, Philippines. The researchers interviewed twelve student teachers and used Colaizzi’s method of data analysis. Results revealed that the essence of teaching Math from the lens of elementary student teachers is condensed in the following themes: a Emotional mix-up; b Challenging; c Never stop learning and reach out for help; d Success is a joint venture of teacher and student; e Values count; f We are work in progress. The researchers recommend that teacher education institutions may consider revisiting their policies and practices to strengthen the support lent by the supervisor, mentors and staff to the budding teachers; providing supplemental training and coaching towards improving the student teachers’ pedagogical content knowledge in Math; and providing the pre-service teachers with reflective strategies in processing one’s own experiences in teaching the subject. Moreover, since elementary student-teachers teach not only Math but the other subjects as well, the researchers also recommend that further researches may be conducted on topics related on how the teaching of the other subjects influence one’s way of teaching Mathematics.

Computational Technique for Teaching Mathematics (CTTM): Visualizing the Polynomial's Resultant

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Alves, Francisco Regis Vieira

2015-01-01

We find several applications of the Dynamic System Geogebra--DSG related predominantly to the basic mathematical concepts at the context of the learning and teaching in Brasil. However, all these works were developed in the basic level of Mathematics. On the other hand, we discuss and explore, with DSG's help, some applications of the polynomial's…

Teaching of Mathematics and Science in English: The Teachers' Voices

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Yahaya, Mohamad Fadhili Bin; Noor, Mohd Asri Bin Mohd; Mokhtar, Ahmad Azman Bin; Rawian, Rafizah Binti Mohd; Othman, Mahmod Bin; Jusoff, Kamaruzaman

2009-01-01

The policy to change the medium of instruction in the teaching of Mathematics and Science from Bahasa Melayu (Malay Language) to English in 2003 is an important innovation affecting not only the students but also teachers of Mathematics and Science. However, how far the changes affect the teachers is the issue addressed in the paper. In fact the…

Validating Measures of Mathematical Knowledge for Teaching

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Kane, Michael

2007-01-01

According to Schilling, Blunk, and Hill, the set of papers presented in this journal issue had two main purposes: (1) to use an argument-based approach to evaluate the validity of the tests of mathematical knowledge for teaching (MKT), and (2) to critically assess the author's version of an argument-based approach to validation (Kane, 2001, 2004).…

Equitable Mathematics Teaching and Learning in Practice: Exploring Students' Negotiations of Identity and Power

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Harper, Frances Kay

2017-01-01

This dissertation builds on and extends research on the relationship between equity-minded mathematics teaching, specifically teaching mathematics for social justice, complex instruction, and project-based learning, and students' learning and identity development. Although different in their structures and strategies, equity-minded mathematics…

MONTO: A Machine-Readable Ontology for Teaching Word Problems in Mathematics

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Lalingkar, Aparna; Ramnathan, Chandrashekar; Ramani, Srinivasan

2015-01-01

The Indian National Curriculum Framework has as one of its objectives the development of mathematical thinking and problem solving ability. However, recent studies conducted in Indian metros have expressed concern about students' mathematics learning. Except in some private coaching academies, regular classroom teaching does not include problem…

APPLYING PROFESSIONALLY ORIENTED PROBLEMS OF MATHEMATICAL MODELING IN TEACHING STUDENTS OF ENGINEERING DEPARTMENTS

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Natal’ya Yur’evna Gorbunova

2017-06-01

Full Text Available We described several aspects of organizing student research work, as well as solving a number of mathematical modeling problems: professionally-oriented, multi-stage, etc. We underlined the importance of their economic content. Samples of using such problems in teaching Mathematics at agricultural university were given. Several questions connected with information material selection and peculiarities of research problems application were described. Purpose. The author aims to show the possibility and necessity of using professionally-oriented problems of mathematical modeling in teaching Mathematics at agricultural university. The subject of analysis is including such problems into educational process. Methodology. The main research method is dialectical method of obtaining knowledge of finding approaches to selection, writing and using mathematical modeling and professionally-oriented problems in educational process; the methodology is study of these methods of obtaining knowledge. Results. As a result of analysis of literature, students opinions, observation of students work, and taking into account personal teaching experience, it is possible to make conclusion about importance of using mathematical modeling problems, as it helps to systemize theoretical knowledge, apply it to practice, raise students study motivation in engineering sphere. Practical implications. Results of the research can be of interest for teachers of Mathematics in preparing Bachelor and Master students of engineering departments of agricultural university both for theoretical research and for modernization of study courses.

Motivating Change from Lecture-Tutorial Modes to Less Traditional Forms of Teaching

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McLaren, Helen J.; Kenny, Paul L.

2015-01-01

Teaching academics are under pressure to move away from traditional lecture-tutorial teaching modes to less traditional forms. Such pressures are in addition to changes to funding arrangements and other developments that increasingly oblige universities to operate as businesses. The flow-on effects for teachers are increased student:staff ratios,…

Teaching Traditions in Science Education in Switzerland, Sweden and France: A Comparative Analysis of Three Curricula

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Marty, Laurence; Venturini, Patrice; Almqvist, Jonas

2018-01-01

Classroom actions rely, among other things, on teaching habits and traditions. Previous research has clarified three different teaching traditions in science education: the academic tradition builds on the idea that simply the products and methods of science are worth teaching; the applied tradition focuses on students' ability to use scientific…

Representations of Mathematics, their teaching and learning: an exploratory study

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Maria Margarida Graça

2004-03-01

Full Text Available This work describes an exploratory study, the first of the four phases of a more inclusive research, which aims at understanding the way to promote, in a Mathematics teachers’ group, a representational evolution leading to a practice that allows a Mathematical meaningful learning of Mathematics. The methodology of this study is qualitative. Data gathering was based on questioning; all the subjects of the sample (n=48 carried out a projective task (a hierarchical evocation test and answered a written individual questionnaire. Data analysis was based in a set of categories previously defined. The main purpose of this research was to identify, to characterize and to describe the representations of Mathematics, their teaching and learning, in a group of 48 subjects, from different social groups, in order to get indicators for the construction of the instruments to be used in to the next phases of the research. The main results of this study are the following: (1 we were able to identify and characterize different representations of the teaching and learning of Mathematics, in what respects its epistemological, pedagogical, emotional and sociocultural dimensions; (2 we were also able to identify limitations, difficulties and items to be included or rephrased in the instruments used.

INFORMATIVE SYSTEM OF EDUCATIONAL PURPOSE FROM MATHEMATICS AS A WAY OF PROFESSIONAL ORIENTATION OF TEACHING STUDENTS IT SPECIALTIES

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Lyudmyla Shishko

2016-01-01

Full Text Available The current state of formation of mathematical knowledge in universities insufficiently focused on their further use in professional activities. Students not formed the ability to apply mathematical knowledge to study general professional and special disciplines. In this article: –\tconsidered features of formation of a professional orientation of teaching mathematics using structured content multimedia information system for educational purposes (MISEP; –\tfound psychologo-pedagogical features of teaching mathematics of students IT specialties; –\tconsidered methodical aspects of MISEP in teaching the course "Discrete Mathematics" for students of IT specialties

the roles of games in teaching and learning of mathematics in junior ...

African Journals Online (AJOL)

users

The research seeks to enhance the status of games in teaching mathematics in ... that the use of games and activities can make the mathematics enjoyable. ... motivation, understanding and suppression of anxiety are some of the reasons ...

Teaching Discrete Mathematics Entirely from Primary Historical Sources

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Barnett, Janet Heine; Bezhanishvili, Guram; Lodder, Jerry; Pengelley, David

2016-01-01

We describe teaching an introductory discrete mathematics course entirely from student projects based on primary historical sources. We present case studies of four projects that cover the content of a one-semester course, and mention various other courses that we have taught with primary source projects.

An Investigation of Elementary Preservice Teachers' Self-Efficacy for Teaching Mathematics

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Giles, Rebecca McMahon; Byrd, Kelly O.; Bendolph, Angelia

2016-01-01

Research has consistently shown that teacher efficacy is related to a variety of desirable student outcomes, thus, making teacher efficacy an important factor in high quality mathematics instruction. The purpose of this study was to determine elementary preservice teachers' self-efficacy beliefs related to teaching mathematics. Forty-one…

Comparison of Traditional and Constructivist Teaching Approaches ...

African Journals Online (AJOL)

The second section of students had 47 students and was taught using traditional teaching approach. Learning strategy inventory questionnaire which was adapted from strategy inventory for language learning (SILL) L2 students of English, (Oxford, 1990) was employed before and after students were taught using two ...

Computer-Based Mathematics Instructions for Engineering Students

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Khan, Mustaq A.; Wall, Curtiss E.

1996-01-01

Almost every engineering course involves mathematics in one form or another. The analytical process of developing mathematical models is very important for engineering students. However, the computational process involved in the solution of some mathematical problems may be very tedious and time consuming. There is a significant amount of mathematical software such as Mathematica, Mathcad, and Maple designed to aid in the solution of these instructional problems. The use of these packages in classroom teaching can greatly enhance understanding, and save time. Integration of computer technology in mathematics classes, without de-emphasizing the traditional analytical aspects of teaching, has proven very successful and is becoming almost essential. Sample computer laboratory modules are developed for presentation in the classroom setting. This is accomplished through the use of overhead projectors linked to graphing calculators and computers. Model problems are carefully selected from different areas.

Ancient Indian astro-mathematical tradition: Evolution and linkages

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Kochhar, Rajesh

2010-10-01

Indian astronomical tradition is characterized by antiquity, continuity and interaction with the outside world. From 6th century CE till the time of Kepler's laws, Indian astronomers were probably the only ones in the world who could calculate eclipses with any degree of accuracy. In the 12th century, an astronomer in Central India, Padmanabha by name, predicted the lunar eclipse of 8 November 1128 and was rewarded by the king with a land grant (Mirashi 1933-34). The tradition was alive well into the 19th century. By means of shells arranged on the ground and using mathematical tables memorized ``by means of certain artificial words and syllables'', a ``Kalendar maker residing in Pondicherry'' calculated the lunar eclipse of 31 May-1 June 1825, with an error of no more than +4 minutes for the beginning (Neugebauer 1983, p. 436). Even now, traditional astronomical almanacs in India, known as panchangas, used in India for ritual and religious purposes base their calculations on ancient texts. It is only in the case of eclipse that they borrow data from modern sources. The beginnings of astronomy are related to the requirements of the ritual in early cultures. Ritual was seen as a means of securing divine approval and support for terrestrial actions. To be effective, it had to be elaborate and welltimed, so that a careful distinction could be made between auspicious and inauspicious times. Since planetary motions provided a natural means of time keeping and were seen as embodiment of divine signals, astronomy developed as an intellectual discipline (see Yano 2003). Similarly mathematics grew as an aid to designing sacrificial altars. The oldest geometry texts in India are the Sulvasutras which dealt with questions like the square root of two. Different scholars place the earlier of these texts anywhere between 800 BCE and 400 BCE. Astronomy texts are decidedly older. Subsequent developments in mathematics came about as an astronomical aid.

Digital game based learning: A new method in teaching and learning mathematics

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Hussain, Sayed Yusoff bin Syed; Hoe, Tan Wee; Idris, Muhammad Zaffwan bin

2017-05-01

Digital game-based learning (DGBL) had been regarded as a sound learning strategy in raising pupils' willingness and interest in many disciplines. Normally, video and digital games are used in the teaching and learning mathematics. based on literature, digital games have proven its capability in making pupils motivated and are more likely to contribute to effective learning mathematics. Hence this research aims to construct a DGBL in the teaching of Mathematics for Year 1 pupils. Then, a quasi-experimental study was carried out in a school located in Gua Musang, Kelantan, involving 39 pupils. Specifically, this article tests the effectiveness of the use of DGBL in the teaching of the topic Addition of Less than 100 on pupil's achievement. This research employed a quasi-experiment, Pre and Post Test of Non-equivalent Control Group design. The data were analysed using the Nonparametric test namely the Mann-Whitney U. The research finding shows the use of the DGBL could increase the pupils' achievement in the topic of Addition of Less than 100. In practice, this research indicates that the DBGL can utilized as an alternative reference strategy for Mathematics teacher.

Gains in the Education of Mathematics and Science GEMS: Teaching Robotics to High School Students

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2013-01-01

find amusing but that we find of less educational value, like having the robots say comical things. Those who have more teaching time would doubtless...Gains in the Education of Mathematics and Science GEMS: Teaching Robotics to High School Students by Edward M. Measure and Edward Creegan...TR-6220 January 2013 Gains in the Education of Mathematics and Science (GEMS): Teaching Robotics to High School Students Edward M

Japanese Pupils’ Attribution of their Perceived Mathematics Performance and the Relationships Between their Attribution of Mathematics Performance and their Affective Attitudes Promoted by Different Teaching Methods

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Tomomi Saeki

2006-04-01

Full Text Available This research used a questionnaire survey to explore the relationship between pupils’ attribution of their perceived mathematics performance and their affective attitudes towards mathematics learning as promoted by the different teaching methods they were exposed to in their mathematics classes. Both 5th and 8th graders attributed their success in learning mathematics to effort, although support from the teacher and support at home were also perceived as important factors in their success. The 5th graders and 8th graders overall gave effort-based attributions in the case of failure, while for 5th graders, ability was regarded as being as important as effort, in attributing failure in mathematics learning. Pupils who attributed their success in mathematics learning to effort, support at school and home, preferred teacher explanation and reading a textbook as learning strategies, while those attributing it to their ability preferred Individual work. Where pupils attributed success to luck, this seemed to have a negative effect on their affective attitudes towards mathematics learning as promoted by different teaching methods, while attributing failure to luck seemed to have positive effect. Attributing failure to poor teaching seemed to have a negative effect on their perception of teacher explanation. The relationships between pupil effort or ability based attributions of failure and their preference for different teaching methods were not clear. Adopting various teaching methods in mathematics classes would seem to support pupils who have different attribution styles.

Improving the basic skills of teaching mathematics through learning with search-solve-create-share strategy

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Rahayu, D. V.; Kusumah, Y. S.; Darhim

2018-05-01

This study examined to see the improvement of prospective teachers’ basic skills of teaching mathematics through search-solve-create-share learning strategy based on overall and Mathematical Prior Knowledge (MPK) and interaction of both. Quasi experiments with the design of this experimental-non-equivalent control group design involved 67 students at the mathematics program of STKIP Garut. The instrument used in this study included pre-test and post-test. The result of this study showed that: (1) The improvement and achievement of the basic skills of teaching mathematics of the prospective teachers who get the learning of search-solve-create-share strategy is better than the improvement and achievement of the prospective teachers who get the conventional learning as a whole and based on MPK; (2) There is no interaction between the learning used and MPK on improving and achieving basic skills of teaching mathematics.

The implementation of multiple intelligences based teaching model to improve mathematical problem solving ability for student of junior high school

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Fasni, Nurli; Fatimah, Siti; Yulanda, Syerli

2017-05-01

This research aims to achieve some purposes such as: to know whether mathematical problem solving ability of students who have learned mathematics using Multiple Intelligences based teaching model is higher than the student who have learned mathematics using cooperative learning; to know the improvement of the mathematical problem solving ability of the student who have learned mathematics using Multiple Intelligences based teaching model., to know the improvement of the mathematical problem solving ability of the student who have learned mathematics using cooperative learning; to know the attitude of the students to Multiple Intelligences based teaching model. The method employed here is quasi-experiment which is controlled by pre-test and post-test. The population of this research is all of VII grade in SMP Negeri 14 Bandung even-term 2013/2014, later on two classes of it were taken for the samples of this research. A class was taught using Multiple Intelligences based teaching model and the other one was taught using cooperative learning. The data of this research were gotten from the test in mathematical problem solving, scale questionnaire of the student attitudes, and observation. The results show the mathematical problem solving of the students who have learned mathematics using Multiple Intelligences based teaching model learning is higher than the student who have learned mathematics using cooperative learning, the mathematical problem solving ability of the student who have learned mathematics using cooperative learning and Multiple Intelligences based teaching model are in intermediate level, and the students showed the positive attitude in learning mathematics using Multiple Intelligences based teaching model. As for the recommendation for next author, Multiple Intelligences based teaching model can be tested on other subject and other ability.

Technology Use and Mathematics Teaching: Teacher Change as Discursive Identity Work

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Chronaki, Anna; Matos, Anastasios

2014-01-01

Teacher change towards developing competences for technology use in mathematics teaching has been the focus of current educational reforms worldwide. However, a considerable amount of research denotes the extent to which teachers resist a full integration of technology in mathematics classrooms. The present paper is based on an ethnographic study…

Exploring student teachers' perceptions of the influence of technology in learning and teaching mathematics

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Sarah Bansilal

2015-11-01

Full Text Available Rapid global technological developments have affected all facets of life, including the teaching and learning of mathematics. This qualitative study was designed to identify the ways in which technology was used and to explore the nature of this use by a group of 52 mathematics student teachers. The participants were pre-service Mathematics students who were enrolled for a Mathematics module at a South African university. The research instruments were an open question and a semi-structured interview schedule. Saxe's framework was used to analyse the data. Some benefits of mathematics software were found to be the provision of different representations, dynamic visualisation of concepts and variation in mathematical situations. It was also found that students used technology more often in their own learning than in their teaching, because the schools did not have many resources. It is recommended that the education department prioritise the provision of specialist mathematics software that can be used to improve learning outcomes in mathematics.

Modeling Sources of Teaching Self-Efficacy for Science, Technology, Engineering, and Mathematics Graduate Teaching Assistants

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DeChenne, Sue Ellen; Koziol, Natalie; Needham, Mark; Enochs, Larry

2015-01-01

Graduate teaching assistants (GTAs) in science, technology, engineering, and mathematics (STEM) have a large impact on undergraduate instruction but are often poorly prepared to teach. Teaching self-efficacy, an instructor’s belief in his or her ability to teach specific student populations a specific subject, is an important predictor of teaching skill and student achievement. A model of sources of teaching self-efficacy is developed from the GTA literature. This model indicates that teaching experience, departmental teaching climate (including peer and supervisor relationships), and GTA professional development (PD) can act as sources of teaching self-efficacy. The model is pilot tested with 128 GTAs from nine different STEM departments at a midsized research university. Structural equation modeling reveals that K–12 teaching experience, hours and perceived quality of GTA PD, and perception of the departmental facilitating environment are significant factors that explain 32% of the variance in the teaching self-efficacy of STEM GTAs. This model highlights the important contributions of the departmental environment and GTA PD in the development of teaching self-efficacy for STEM GTAs. PMID:26250562

The Mathematical Development Beliefs Survey: Validity and Reliability of a Measure of Preschool Teachers' Beliefs about the Learning and Teaching of Early Mathematics

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Platas, Linda M.

2015-01-01

The Mathematical Development Beliefs Survey was developed to measure early childhood teachers' beliefs about mathematics teaching and learning in the preschool classroom. This instrument was designed to measure beliefs concerning (a) age-appropriateness of mathematics instruction, (b) classroom locus of generation of mathematical knowledge…

Relationships between Mathematics Teacher Preparation and Graduates' Analyses of Classroom Teaching

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Hiebert, James; Berk, Dawn; Miller, Emily

2017-01-01

The purpose of this longitudinal study was to investigate the relationships between mathematics teacher preparation and graduates' analyses of classroom teaching. Fifty-three graduates from an elementary teacher preparation program completed 4 video-based, analysis-of-teaching tasks in the semester before graduation and then in each of the 3…

Validity-Supporting Evidence of the Self-Efficacy for Teaching Mathematics Instrument

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McGee, Jennifer R.; Wang, Chuang

2014-01-01

The purpose of this study is to provide evidence of reliability and validity of the Self-Efficacy for Teaching Mathematics Instrument (SETMI). Self-efficacy, as defined by Bandura, was the theoretical framework for the development of the instrument. The complex belief systems of mathematics teachers, as touted by Ernest provided insights into the…

The Use of Teachers' Baseline Normative Beliefs to Guide Professional Development in Teaching Mathematics

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Lloyd, Mary Elizabeth Riley; Veal, William; Howell, Malia

2016-01-01

This article describes the normative beliefs and the discursive claims related to mathematics and teaching mathematics made by approximately 50 middle-level and secondary mathematics teachers within four high-need local education associations participating in a Mathematics and Science Partnership with a southeastern college's Science and Math for…

Using a Card Trick to Teach Discrete Mathematics

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Simonson, Shai; Holm, Tara S.

2003-01-01

We present a card trick that can be used to review or teach a variety of topics in discrete mathematics. We address many subjects, including permutations, combinations, functions, graphs, depth first search, the pigeonhole principle, greedy algorithms, and concepts from number theory. Moreover, the trick motivates the use of computers in…

Interactions Between Mathematics and Physics: The History of the Concept of Function—Teaching with and About Nature of Mathematics

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Kjeldsen, Tinne Hoff; Lützen, Jesper

2015-07-01

In this paper, we discuss the history of the concept of function and emphasize in particular how problems in physics have led to essential changes in its definition and application in mathematical practices. Euler defined a function as an analytic expression, whereas Dirichlet defined it as a variable that depends in an arbitrary manner on another variable. The change was required when mathematicians discovered that analytic expressions were not sufficient to represent physical phenomena such as the vibration of a string (Euler) and heat conduction (Fourier and Dirichlet). The introduction of generalized functions or distributions is shown to stem partly from the development of new theories of physics such as electrical engineering and quantum mechanics that led to the use of improper functions such as the delta function that demanded a proper foundation. We argue that the development of student understanding of mathematics and its nature is enhanced by embedding mathematical concepts and theories, within an explicit-reflective framework, into a rich historical context emphasizing its interaction with other disciplines such as physics. Students recognize and become engaged with meta-discursive rules governing mathematics. Mathematics teachers can thereby teach inquiry in mathematics as it occurs in the sciences, as mathematical practice aimed at obtaining new mathematical knowledge. We illustrate such a historical teaching and learning of mathematics within an explicit and reflective framework by two examples of student-directed, problem-oriented project work following the Roskilde Model, in which the connection to physics is explicit and provides a learning space where the nature of mathematics and mathematical practices are linked to natural science.

Math in Motion: Origami in the Classroom. A Hands-On Creative Approach to Teaching Mathematics. K-8.

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Pearl, Barbara

This perfect bound teacher's guide presents techniques and activities to teach mathematics using origami paper folding. Part 1 includes a history of origami, mathematics and origami, and careers using mathematics. Parts 2 and 3 introduce paper-folding concepts and teaching techniques and include suggestions for low-budget paper resources. Part 4…

Internal consistency reliability and validity of the Arabic translation of the Mathematics Teaching Efficacy Beliefs Instrument.

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Alkhateeb, Haitham M

2004-06-01

The Arabic translation of the Mathematics Teaching Efficacy Beliefs was completed by 144 undergraduate students (M age=20.6) in Jordan. The findings support the internal reliability of the Arabic translation of the Mathematics Teaching Efficacy Beliefs as well as its construct validity.

Methods and Materials in Teaching Secondary School Mathematics - Syllabus. Revised Edition.

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Gallia, Thomas J.

This syllabus describes a course designed for the student interested in teaching mathematics at the secondary level and includes both campus centered activities and a field experience. The professor teaching this class is expected to "bridge the gap" between theory in the college classroom and practice as viewed in the secondary school. The…

Learning to teach effectively: Science, technology, engineering, and mathematics graduate teaching assistants' teaching self-efficacy

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Dechenne, Sue Ellen

Graduate teaching assistants (GTAs) from science, technology, engineering, and mathematics (STEM) are important in the teaching of undergraduate students (Golde & Dore, 2001). However, they are often poorly prepared for teaching (Luft, Kurdziel, Roehrig, & Turner, 2004). This dissertation addresses teaching effectiveness in three related manuscripts: (1) A position paper that summarizes the current research on and develops a model of GTA teaching effectiveness. (2) An adaptation and validation of two instruments; GTA perception of teaching training and STEM GTA teaching self-efficacy. (3) A model test of factors that predict STEM GTA teaching self-efficacy. Together these three papers address key questions in the understanding of teaching effectiveness in STEM GTAs including: (a) What is our current knowledge of factors that affect the teaching effectiveness of GTAs? (b) Given that teaching self-efficacy is strongly linked to teaching performance, how can we measure STEM GTAs teaching self-efficacy? (c) Is there a better way to measure GTA teaching training than currently exists? (d) What factors predict STEM GTA teaching self-efficacy? An original model for GTA teaching effectiveness was developed from a thorough search of the GTA teaching literature. The two instruments---perception of training and teaching self-efficacy---were tested through self-report surveys using STEM GTAs from six different universities including Oregon State University (OSU). The data was analyzed using exploratory and confirmatory factor analysis. Using GTAs from the OSU colleges of science and engineering, the model of sources of STEM GTA teaching self-efficacy was tested by administering self-report surveys and analyzed by using OLS regression analysis. Language and cultural proficiency, departmental teaching climate, teaching self-efficacy, GTA training, and teaching experience affect GTA teaching effectiveness. GTA teaching self-efficacy is a second-order factor combined from self

Mexican high school students' social representations of mathematics, its teaching and learning

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Martínez-Sierra, Gustavo; Miranda-Tirado, Marisa

2015-07-01

This paper reports a qualitative research that identifies Mexican high school students' social representations of mathematics. For this purpose, the social representations of 'mathematics', 'learning mathematics' and 'teaching mathematics' were identified in a group of 50 students. Focus group interviews were carried out in order to obtain the data. The constant comparative style was the strategy used for the data analysis because it allowed the categories to emerge from the data. The students' social representations are: (A) Mathematics is…(1) important for daily life, (2) important for careers and for life, (3) important because it is in everything that surrounds us, (4) a way to solve problems of daily life, (5) calculations and operations with numbers, (6) complex and difficult, (7) exact and (6) a subject that develops thinking skills; (B) To learn mathematics is…(1) to possess knowledge to solve problems, (2) to be able to solve everyday problems, (3) to be able to make calculations and operations, and (4) to think logically to be able to solve problems; and (C) To teach mathematics is…(1) to transmit knowledge, (2) to know to share it, (3) to transmit the reasoning ability, and (4) to show how to solve problems.

Developing Mathematical Literacy through project work: A teacher/teaching perspective

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Renuka Vithal

2006-10-01

Full Text Available The implementation of the new Mathematical Literacy curriculum in South Africa is assuming several different conceptions of mathematics and therefore also being realised through a range of different pedagogies. In this paper I begin from a particular privileging of a critical perspective in mathematics education, which I argue is one (among others of the forces shaping the new South African curriculum reforms, particularly the Mathematical Literacy curriculum. If so, then the case for a specific pedagogy, that of project work, can be shown to support the development of a mathematical literacy from a critical perspective. In this paper a particular set of conceptual tools, principles and practices associated with project work, as developed in the Scandanavian context but researched in South Africa, are elaborated from the perspective of teachers/teaching of mathematical literacy.

The Use of Software in Academic Stream High School Mathematics Teaching

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Clay, Simon; Fotou, Nikolaos; Monaghan, John

2017-01-01

This paper reports on classroom observations of senior high school mathematics lessons with a focus on the use of digital technology. The observations were of teachers enrolled in an in-service course, Teaching Advanced Mathematics. The paper reports selected results and comments on: software that was observed to have been used; the use (or not)…

Relationships between school support, school facilities, ICT culture and mathematics teachers' attitudes towards ICT in teaching and learning

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Ayub, Ahmad Fauzi Mohd; Bakar, Kamariah Abu; Ismail, Rohayati

2012-05-01

Information communication Technology (ICT) has been a major influence in the Malaysian Education System, especially in the teaching of mathematics. Since 2003, the Malaysian Ministry of Education has provided incentives to mathematics teacher to motivate them to use ICT using English as the medium of instruction, during the teaching and learning process. However, there are barriers that prevented mathematics teachers from using ICT in the classrooms. This study is to determine factors that influenced the attitudes of Malaysian Mathematic Teachers in integrating ICT in their teaching and learning. One hundred ninety one mathematics teachers were randomly selected for the purpose of this study. The three factors investigated were school support, school facilities and school culture which had been selected to be correlated with teachers' attitudes towards integrating ICT in the teaching and learning of mathematics. Findings showed that significant positive relationships existed between teachers' attitudes toward integrating ICT in the teaching and learning and school support, school facilities and ICT culture and This finding indicated that, in order to develop teachers' attitudes in using ICT during their teaching and learning process, they needed support from the school principals and also their colleagues. Apart from that, school facilities and also ICT culture were also found to be essential.

The Teaching of Mathematics in Secondary Schools as a Tool for Self-Reliance and Re-Branding Process in Nigeria

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Jonah, Tali D.; Caleb, Mbwas .L.; Stephen, Abe A.

2012-01-01

Mathematics teaching is an interaction between the teacher and the learners that leads to acquisition of desirable mathematical knowledge, ideas and skills necessary for applicability in our everyday life. This paper therefore looks at the concept of self-reliance, the concept of mathematics teaching, problems and prospects of mathematics teaching…

Attitudes towards using mobile applications for teaching mathematics in open learning systems

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Bahjat Hamid Altakhyneh

2018-05-01

Full Text Available This study investigated attitudes towards teaching mathematics via mobile learning in open learning systems. The sample of the study consisted of 57 male and female students enrolled in the mathematics course in the department of educational studies at the Arab Open University/ Jordan for the academic year 2016/2017. Results of the study showed that positive student attitudes toward using mobile applications reached 80%. Each of the following scores is ranked as ascending: mathematical thinking (75%, achievement motivation (76%, developing social and emotional skills (77%, and application technology (96%. There was no statistical significance difference (α ≤0.01 between the variable type of general secondary certificate (scientific / arts stream as well as the nature of employment in terms of whether the learner was either an employee or non-employee. In light of results of the study, the researcher recommends using mobile applications in teaching courses of mathematics in open learning systems.

Empathic climate and learning outcomes: a study of teaching empathy in relation to mathematics learning outcomes

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Buckley, Finian

1993-01-01

This study examined the influence of Empathie Teaching Climate on Mathematics Learnmg'andMathematics and General School Self-Concepts, in sateen schools in Dublin, Ireland. The study required the design development and validation of the Student-Teacher Interaction Questionnaire (STIQ), which measures specific behavioural indices of classroom Teaching Empathy. The research monitored the effects of Teaching Empathy on students (N=387) in their first year of secondary schooling, as they complete...

A richer picture of mathematics the göttingen tradition and beyond

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Rowe, David E

2018-01-01

Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts.  Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow recount episodes relating to the section’s overall theme. All of the essays in this collection, with the exception of two, appeared over the course of more than 30 years in The Mathematical Intelligencer. Based largely on archival and primary sources, these vignettes offer unusual insights into behind-the-scenes events. ...

Contradictions and shifts in teaching with a new curriculum: The role of mathematics

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Stouraitis, Konstantinos; Potari, Despina; Skott, Jeppe

2015-01-01

In the framework of Cultural Historical Activity Theory (AT) contradictions are sources of change and development. Borrowing concepts from AT we attempt an interpretation of identified contradictions in a collaborative context where teachers plan and evaluate their teaching in the process...... of enacting a new mathematics curriculum. We examine the connection between contradictions and shifts in teaching activity, with a special focus on the mathematical character of these contradictions. We claim that dialectical oppositions lying in the background of these contradictions promote teachers...

Effect Of Open Ended Teaching Learning Approach On Secondary School Students Mathematics Achievement In Learning Three Dimensional Geometry

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Chogo C.N.

2017-12-01

Full Text Available Mathematics is globally valued for use by an individual and society. It plays a significant role in the development of modern science and technology. Despite its importance students motivation to learn and achievement at national examinations globally and at the KCSE mathematics examination in Kenya particularly has been dismal over the years. The learners low achievement in the subject has been attributed to the didactic teaching methods that the teachers use among other factors. The study of geometry in Mathematics poses a number of difficulties to learners which are different in nature from those of arithmetic and algebra. This is because geometry is primarily abstract in nature. The purpose of this study was to determine the effects of Open Ended Teaching and Learning Approach OETLA on Secondary School students mathematics achievement in learning Three Dimensional Geometry 3DG. The study employed Solomon four non-equivalent control group design. The two experimental groups E1amp E2 received OETLA treatment while the control groups C1ampC2 were taught using the conventional teaching and learning methods. Only E1amp C1 took a pre-test and a post test for all the groups. The target population for this study was form four 17 year old students of secondary schools in Marani Sub County in Kisii County. Purposive sampling was used to obtain the four county mixed-sex secondary schools for the study. A total of 152 students formed the sample size. Students Mathematics Achievement Test SMAT was used to collect data. The instruments were validated by three experts from the department of curriculum and instruction of Egerton University and three Secondary School Mathematics Heads of Department. The reliability of the instruments were established using Cronbachs Alpha. A reliability coefficient of 0.92 was obtained and thus considered acceptable. The SMAT was administered to two groups as a pretest before the treatment and as a posttest to all the four

Modern Versus Traditional Mathematics

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Roberts, A. M.

1974-01-01

The effect of different secondary school mathematics syllabi on first-year performance in college-level mathematics was studied in an attempt to evaluate the syllabus change. Students with a modern mathematics background performed sigficantly better on most first-year units. A topic-by-topic analysis of results is included. (DT)

Blended learning – integrating E-learning with traditional learning methods in teaching basic medical science

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J.G. Bagi; N.K. Hashilkar

2014-01-01

Background: Blended learning includes an integration of face to face classroom learning with technology enhanced online material. It provides the convenience, speed and cost effectiveness of e-learning with the personal touch of traditional learning. Objective: The objective of the present study was to assess the effectiveness of a combination of e-learning module and traditional teaching (Blended learning) as compared to traditional teaching alone to teach acid base homeostasis to Phase I MB...

Implementing Mathematics Teaching That Promotes Students' Understanding through Theory-Driven Lesson Study

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Huang, Rongjin; Gong, Zikun; Han, Xue

2016-01-01

Lesson study (LS) has been practiced in China as an effective way to advance teachers' professional development for decades. This study explores how LS improves teaching that promotes students' understanding. A LS group including didacticians (practice-based teaching research specialist and University-based mathematics educators) and mathematics…

Building counting by traditional game: Mathematics Program for Young Children

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Nasrullah Nasrullah; Zulkardi Zulkardi

2011-01-01

In line with design research, the use of Bermain Satu Rumah (BSR) as traditional  game to support children’s counting classroom wherein students are encouraged to construct mathematical understanding. Number in traditional games is an interesting aspect that is helpful for children to encounter numerous situations that bring them into contact with sounds, symbols and meanings that relate to numbers. Bermain satu rumah as starting activity would be media to enhance student’s sense of number as...

Learning and Teaching Traditional Music in Cambodia: Challenges and Incentives

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Grant, Catherine

2017-01-01

Substantial efforts have been made since the Khmer Rouge regime to revitalize traditional Cambodian music genres. While they have met with some success, local circumstances still present many difficulties for the transmission of traditional music to the younger generations. This study explores the challenges in learning and teaching traditional…

Examining Teaching Based on Errors in Mathematics Amongst Pupils with Learning Disabilities

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Magen-Nagar, Noga

2016-01-01

Teaching mathematics while learning from students' mistakes, errors and misconceptions, is most important for meaningful learning. This study was based on intervention programs prepared by preservice teachers. It aimed to examine their knowledge of assessment of errors in mathematics amongst pupils with learning disabilities, and their use as a…

Prospective Mathematics Teachers' Perceptions on and Adaptation of Student-Centred Approach to Teaching

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Osmanoglu, Aslihan; Dincer, Emrah Oguzhan

2018-01-01

The aim of this study was to investigate prospective secondary mathematics teachers' perceptions on and adaptation of student-centred approach to teaching. The study was conducted with 58 prospective secondary mathematics teachers who were the graduates from mathematics departments from different universities' Science and Literature faculties.…

VEDIC MATHEMATICS

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Sead Rešić

2015-09-01

Full Text Available It is very difficult to motivate students when it comes to a school subject like Mathematics. Teachers spend a lot of time trying to find something that will arouse interest in students. It is particularly difficult to find materials that are motivating enough for students that they eagerly wait for the next lesson. One of the solutions may be found in Vedic Mathematics. Traditional methods of teaching Mathematics create fear of this otherwise interesting subject in the majority of students. Fear increases failure. Often the traditional, conventional mathematical methods consist of very long lessons which are difficult to understand. Vedic Mathematics is an ancient system that is very flexible and encourages the development of intuition and innovation. It is a mental calculating tool that does not require a calculator because the calculator is embedded in each of us. Starting from the above problems of fear and failure in Mathematics, the goal of this paper is to do research with the control and the experimental group and to compare the test results. Two tests should be done for each of the groups. The control group would do the tests in the conventional way. The experimental group would do the first test in a conventional manner and then be subjected to different treatment, that is to say, be taught on the basis of Vedic Mathematics. After that, the second group would do the second test according to the principles of Vedic Mathematics. Expectations are that after short lectures on Vedic mathematics results of the experimental group would improve and that students will show greater interest in Mathematics.

The teaching practices inventory: a new tool for characterizing college and university teaching in mathematics and science.

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Wieman, Carl; Gilbert, Sarah

2014-01-01

We have created an inventory to characterize the teaching practices used in science and mathematics courses. This inventory can aid instructors and departments in reflecting on their teaching. It has been tested with several hundred university instructors and courses from mathematics and four science disciplines. Most instructors complete the inventory in 10 min or less, and the results allow meaningful comparisons of the teaching used for the different courses and instructors within a department and across different departments. We also show how the inventory results can be used to gauge the extent of use of research-based teaching practices, and we illustrate this with the inventory results for five departments. These results show the high degree of discrimination provided by the inventory, as well as its effectiveness in tracking the increase in the use of research-based teaching practices. © 2014 C. Wieman and S. Gilbert. CBE—Life Sciences Education © 2014 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).

Characterizing the Development of Specialized Mathematical Content Knowledge for Teaching in Algebraic Reasoning and Number Theory

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Bair, Sherry L.; Rich, Beverly S.

2011-01-01

This article characterizes the development of a deep and connected body of mathematical knowledge categorized by Ball and Bass' (2003b) model of Mathematical Knowledge for Teaching (MKT), as Specialized Content Knowledge for Teaching (SCK) in algebraic reasoning and number sense. The research employed multiple cases across three years from two…

A Case Study of Effective Practice in Mathematics Teaching and Learning Informed by Valsiner's Zone Theory

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Geiger, Vince; Anderson, Judy; Hurrell, Derek

2017-01-01

The characteristics that typify an effective teacher of mathematics and the environments that support effective teaching practices have been a long-term focus of educational research. In this article we report on an aspect of a larger study that investigated "best practice" in mathematics teaching and learning across all Australian…

Gesture analysis of students' majoring mathematics education in micro teaching process

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Maldini, Agnesya; Usodo, Budi; Subanti, Sri

2017-08-01

In the process of learning, especially math learning, process of interaction between teachers and students is certainly a noteworthy thing. In these interactions appear gestures or other body spontaneously. Gesture is an important source of information, because it supports oral communication and reduce the ambiguity of understanding the concept/meaning of the material and improve posture. This research which is particularly suitable for an exploratory research design to provide an initial illustration of the phenomenon. The goal of the research in this article is to describe the gesture of S1 and S2 students of mathematics education at the micro teaching process. To analyze gesture subjects, researchers used McNeil clarification. The result is two subjects using 238 gesture in the process of micro teaching as a means of conveying ideas and concepts in mathematics learning. During the process of micro teaching, subjects using the four types of gesture that is iconic gestures, deictic gesture, regulator gesturesand adapter gesture as a means to facilitate the delivery of the intent of the material being taught and communication to the listener. Variance gesture that appear on the subject due to the subject using a different gesture patterns to communicate mathematical ideas of their own so that the intensity of gesture that appeared too different.

An Analysis of Instruments that Measure the Quality of Mathematics Teaching in Early Childhood

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Kilday, Carolyn R.; Kinzie, Mable B.

2009-01-01

The evaluation of teaching quality in mathematics has become increasingly important following research reports indicating that preschoolers are developmentally able to engage in mathematic thought and that child performance in mathematics at this level is a strong predictor of later school achievement. As attention turns to early mathematics…

Modern Traditions: reconfigurations of school mathematics in the 1960s Tradições Modernas: reconfigurações da matemática escolar nos anos 1960

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Elizabete Zardo Búrigo

2010-06-01

Full Text Available Regarding school curricula as social constructions, in this paper we analyze the building up of a tradition, which goes back to the 1960s, related to the introduction of Algebra in elementary school. This tradition is presented as an inheritance of the modern mathematics movement and it is argued that the analysis of curricular innovation processes should not take into account only their proclaimed purposes, but should consider broader effects related to the breakdown of older traditions. Keywords: History of Mathematics Education. Curriculum. Modern Mathematics. Teaching of Algebra.Na linha dos estudos que investigam os currículos escolares como construções sociais, este artigo examina a constituição de uma tradição relativa à iniciação em Álgebra na escola, cuja origem remonta aos anos 1960. Ao apresentar essa tradição como uma herança do movimento da matemática moderna, argumenta que os processos de inovação curricular não devem ser analisados apenas no confronto com suas intenções anunciadas, mas pelos efeitos mais amplos que produzem de desconstituição das tradições mais antigas. Palavras-chave: História da Educação Matemática. Currículo. Matemática Moderna. Ensino de Álgebra.

Oral speech teaching to students of mathematic specialties: a grammatical aspect

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Ibragimov I.I.

2016-08-01

Full Text Available the paper considers teaching features of English speech grammar aspects. The case studies include undergraduates of mathematical specialties. The content of students’ educational activity at the final stage of language teaching is pointed out. Besides the structure of grammar section, a special didactic training unit in which framework mastering grammar phenomena used in oral speech takes place is described.

A Teacher's Conception of Definition and Use of Examples When Doing and Teaching Mathematics

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Johnson, Heather Lynn; Blume, Glendon W.; Shimizu, Jeanne K.; Graysay, Duane; Konnova, Svetlana

2014-01-01

To contribute to an understanding of the nature of teachers' mathematical knowledge and its role in teaching, the case study reported in this article investigated a teacher's conception of a metamathematical concept, definition, and her use of examples in doing and teaching mathematics. Using an enactivist perspective on mathematical…

A Case of Learning Mathematics the Hard Way as a Teaching Assistant

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Drake, Patricia S

2005-01-01

This paper develops early data from a qualitative longitudinal study of the first cohort of five students making the transition from teaching assistant in secondary school to specialist teacher of secondary mathematics. Data from a second cohort of four women and one man starting in 2003 is less complete, but used as appropriate. Bernstein's work on subject classification frames an argument that this student group navigates simultaneously two mathematics discourses: hard university mathematic...

Comparing Episodes of Mathematics Teaching for Higher Achievers in England and Germany

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Kelly, Peter; Kotthoff, Hans-Georg

2016-01-01

To illustrate similarities and differences in lower secondary level mathematics teaching with higher achievers and thereby explore privileging processes, we contrast a teaching episode in Baden-Württemberg, Germany with one in South West England. These have been selected from a larger study as typical within each region for higher achieving…

Teaching and Learning of Knot Theory in School Mathematics

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Kawauchi, Akio

2012-01-01

This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his research in knot theory, and the Osaka study group of mathematics education, founded by Professor Hirokazu Okamori and now chaired by his successor Professor Tomoko Yanagimoto, Osaka Kyoiku University. The seven chapters address the teaching and learning of knot theory from several perspectives. Readers will find an extremely clear and concise introduction to the fundamentals of knot theory, an overview of curricular developments in Japan, and in particular a series of teaching

Teachers' Views of the Challenges of Teaching Grade 9 Applied Mathematics in Toronto Schools

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Stoilescu, Dorian; McDougall, Douglas; Egodawatte, Gunawardena

2016-01-01

Mathematics teachers, mathematics department heads, curriculum leaders, and administrators from 11 schools in four school boards from Toronto, Ontario, Canada, participated in a project to improve the teaching and learning in grade 9 mathematics classrooms. In each of these schools, an implementation team was created, so that at least three…

The Building of Pre-Service Primary Teachers' Knowledge of Mathematics Teaching: Interaction and Online Video Case Studies

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Llinares, Salvador; Valls, Julia

2009-01-01

This study explores how preservice primary teachers became engaged in meaning-making mathematics teaching when participating in online discussions within learning environments integrating video-clips of mathematics teaching. We identified different modes of participation in the online discussions and different levels of knowledge-building. The…

Information Technology in University-Level Mathematics Teaching and Learning: A Mathematician's Point of View

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Borovik, Alexandre

2011-01-01

Although mathematicians frequently use specialist software in direct teaching of mathematics, as a means of delivery e-learning technologies have so far been less widely used. We (mathematicians) insist that teaching methods should be subject-specific and content-driven, not delivery-driven. We oppose generic approaches to teaching, including…

Andragogical Teaching Methods to Enhance Non-Traditional Student Classroom Engagement

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Allen, Pamela; Withey, Paul; Lawton, Deb; Aquino, Carlos Tasso

2016-01-01

The aim of this study was to provide a reflection of current trends in higher education, identify some of the changes in student behavior, and potential identification of non-traditional classroom facilitation with the purpose of strengthening active learning and use of technology in the classroom. Non-traditional teaching is emerging in the form…

Teachers' Perception of Team Teaching Middle School Mathematics in Urban Schools

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Serrano, Vanessa

2012-01-01

The purpose of this study was to examine teachers' perceptions of team teaching middle school mathematics in urban schools. The research questions focused on student academic performance and the impact that team teaching may have from the perspective of teachers. The theories of Piaget, Vygotsky, and Bruner formed the theoretical foundation…

Upper Primary School Teachers' Mathematical Knowledge for Teaching Functional Thinking in Algebra

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Wilkie, Karina J.

2014-01-01

This article is based on a project that investigated teachers' knowledge in teaching an important aspect of algebra in the middle years of schooling--functions, relations and joint variation. As part of the project, 105 upper primary teachers were surveyed during their participation in Contemporary Teaching and Learning of Mathematics, a research…

Exploring Teachers' Practices in Teaching Mathematics and Statistics in Kwazulu-Natal Schools

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Umugiraneza, Odette; Bansilal, Sarah; North, Delia

2017-01-01

Teaching approaches and assessment practices are key factors that contribute to the improvement of learner outcomes. The study on which this article is based, explored the methods used by KwaZulu-Natal (KZN) teachers in teaching and assessing mathematics and statistics. An instrument containing closed and open-ended questions was distributed to…

Developing Mathematical Content Knowledge for Teaching: One Preservice Teacher and Her Planning

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Wilson, Susanna

2016-01-01

This paper describes how a new pre-service teacher engaged with mathematical content in order to learn it for teaching, during practicum. The results show that the PST learned mathematical content by initiating and carrying out a preparation phase prior to planning. This phase involved searching through internet sites and making notes that were…

[On the founders of the Institute of Mathematics and Physics, University of Bahia].

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Dias, A L

The reduced number of female students of mathematics at the University of Bahia School of Philosophy (Faculdade de Filosofia, Universidade da Bahia - FF/UBa) is quite surprising. To date, they are concentrated in areas traditionally viewed as feminine whereas men predominate in the mathematical fields. I have examined interview data from a few women who graduated in mathematics and went on to teach at the University of Bahia School of Mathematics (Faculdade de Filosofia - FF) and at the Institute of Mathematics and Physics (Instituto de Matemática e Física - IMF), where they were soon to outnumber men and constitute the majority of the mathematics teaching staff. In this study, I have investigated the course of their careers over time: from their early student days, through their time as teaching assistants and professors, and finally as founders of the Institute of Mathematics and Physics, in 1960. Special reference is made to Martha Maria de Souza Dantas, organizer of the I Brazilian Conference on Mathematics Teaching, an event which has provided the groundwork for what was to become the Institute (IMF); and to Arlete Cerqueira Lima, the mastermind behind its creation.

Connecting Theory and Practice: Preservice Teachers' Construction of Practical Tools for Teaching Mathematics

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Jacobbe, Tim; Ross, Dorene D.; Caron, D. Alvarez; Barko, Timothy; Busi, Rich

2014-01-01

The National Council of Teachers of Mathematics (NCTM) has called for changes in mathematics teaching from a procedural to conceptual focus since 1980, yet the way mathematics is taught in many classrooms continues to contradict the recommended practices. The pervasiveness of this challenge has led some educators to suggest changes in university…

The Teaching of African Traditional Religion in Primary Schools in Zimbabwe: Challenges and Opportunities

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Marashe, Joel; Ndamba, Gamuchirai Tsitsiozashe; Chireshe, Excellent

2009-01-01

Zimbabwe's Education Ministry recommended the teaching of African Traditional Religion in recognition of its multi-religious society. This study sought to establish the extent to which African Traditional Religion is taught in primary schools, the challenges faced by teachers, and opportunities for promoting its teaching. A descriptive survey…

Math Is More than Numbers: Beginning Bilingual Teachers' Mathematics Teaching Practices and Their Opportunities to Learn

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Yeh, Cathery

2017-01-01

In this article, the author provides results from a 3-year, longitudinal study that examined two novice bilingual teachers' mathematics teaching practices and their professional opportunities to learn to teach. Primary data sources included videotaped mathematics lessons, teacher interviews, and field notes of their teacher preparation methods…

Developing geogebra-assisted reciprocal teaching strategy to improve junior high school students’ abstraction ability, lateral thinking and mathematical persistence

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Priatna, N.; Martadiputra, B. A. P.; Wibisono, Y.

2018-05-01

The development of science and technology requires reform in the utilization of various resources for mathematics teaching and learning process. One of the efforts that can be made is the implementation of GeoGebra-assisted Reciprocal Teaching strategy in mathematics instruction as an effective strategy in improving students’ cognitive, affective, and psychomotor abilities. This research is intended to implement GeoGebra-assisted Reciprocal Teaching strategy in improving abstraction ability, lateral thinking, and mathematical persistence of junior high school students. It employed quasi-experimental method with non-random pre-test and post-test control design. More specifically, it used the 2x3 factorial design, namely the learning factors that included GeoGebra-assisted Reciprocal Teaching and conventional teaching learning, and levels of early mathematical ability (high, middle, and low). The subjects in this research were the eighth grade students of junior high school, taken with purposive sampling. The results of this research show: Abstraction and lateral abilities of students who were taught with GeoGebra-assisted Reciprocal Teaching strategy were significantly higher than those of students who received conventional learning. Mathematical persistence of students taught with GeoGebra-assisted Reciprocal Teaching strategy was also significantly higher than of those taught with conventional learning.

The Development of Interdisciplinary Teaching Approaches among Pre-service Science and Mathematics Teachers

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Miranda Martins, Dominique

This study sought to understand how a group of pre-service teachers in a combined secondary science and mathematics teaching methods course conceptualized and experienced interdisciplinary approaches to teaching. Although knowing how to plan interdisciplinary activities is an essential teaching practice in Quebec, these pre-service teachers faced many challenges during the process of learning to teach with this approach. By using two interdisciplinary frameworks (Nikitina, 2005; Boix Mansilla & Duraising, 2007), I qualitatively analyzed the development of the pre-service teachers' prior and emerging ideas about interdisciplinarity and their ability to plan interdisciplinary teaching activities. The provincial curriculum and issues related to time greatly shaped students' conceptions about interdisciplinarity in the classroom and constrained their ability to plan for and envision the enactment of interdisciplinary lessons in secondary science and mathematics classes. In addition, images of themselves as content-specialists, self-efficacy beliefs in relation to interdisciplinary teaching, and student learning as a source of teacher motivation emerged as key factors promoting or interrupting the development of interdisciplinary teaching approaches. Examination of these factors highlights the need for teacher-education programs to provide opportunities for pre-service teachers to explore how they see themselves as educators, increase their instructional self-efficacy beliefs, and motivate them to teach in an interdisciplinary fashion. Keywords: interdisciplinary teaching, student-teachers, curriculum, teacher-education program, self-efficacy, motivation.

Improving the Teaching of Microsoft Excel: Traditional Book versus Online Platform

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Brooks, Stoney; Taylor, Joseph

2016-01-01

The authors explore the differences between traditional, book-based methods of teaching Excel and online, platform-supported methods by comparing teaching students in different locations, with and without online support. As Excel is a critical skill for business majors, the authors investigate which methods and locations provide the highest…

Mathematics Teaching as Problem Solving: A Framework for Studying Teacher Metacognition Underlying Instructional Practice in Mathematics.

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Artzt, Alice F.; Armour-Thomas, Eleanor

1998-01-01

Uses a "teaching as problem solving" perspective to examine the components of metacognition underlying the instructional practice of seven experienced and seven beginning secondary-school mathematics teachers. Data analysis of observations, lesson plans, videotapes, and audiotapes of structured interviews suggests that the metacognition of…

The process of teaching learning of the basic mathematical contents in the context of the professor's formation of Mathematical

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Yamila Medina-Sánchez

2016-10-01

Full Text Available Teacher training has been ongoing task for Cuban pedagogical universities. In this sense, the results of research carried out with the title based teaching problems in the context of School Mathematics in initial teacher training Mathematics are presented. An educational model that systematizes and enriches the theory of teaching Alan Schoenfeld, revealing and argue new components, specified for application in practice a strategy of the same nature is provided. For its development theoretical methods, such as dialectical hermeneutical, analysis and synthesis, structural systemic, modeling, deductive inductive and logical historical, and empirical level survey, interview, observation were used, the educational testing, consultation with specialists and pre experiment, which enabled the collection and analysis of results.

Toward Developmental Trajectories: A Commentary on "Assessing Measures of Mathematical Knowledge for Teaching"

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Kulikowich, Jonna M.

2007-01-01

Operating from multiple literature bases in cognitive psychology, mathematics education, and theoretical and applied psychometrics, Schilling, Hill and their colleagues provide a systemic approach to studying the validity of scores of mathematical knowledge for teaching. This system encompasses an array of task formats and methodologies. The…

Teaching Mathematics in Multilingual Classrooms: Developing Intercultural Competence via a Study Abroad Program

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Kasmer, Lisa Anne; Billings, Esther

2017-01-01

This study investigated how a study abroad experience teaching mathematics in Tanzania, Africa impacted a group of secondary education pre-service teachers (PSTs) from the United States. In particular we discuss their ability to facilitate the learning of students in multilingual mathematics classrooms while personally developing intercultural…

Three Different Teaching Approaches in Pre-Calculus Bridging Mathematics

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Miller-Reilly, Barbara

2007-01-01

During the past decade three different bridging mathematics courses have been offered at the University of Auckland. A case study approach was used to investigate the effectiveness of these courses: two larger courses and one individual study programme. A different teaching approach, by committed experienced teachers, was used in each course. The…

Programming-Languages as a Conceptual Framework for Teaching Mathematics

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Feurzeig, Wallace; Papert, Seymour A.

2011-01-01

Formal mathematical methods remain, for most high school students, mysterious, artificial and not a part of their regular intuitive thinking. The authors develop some themes that could lead to a radically new approach. According to this thesis, the teaching of programming languages as a regular part of academic progress can contribute effectively…

Teaching-learning: stereoscopic 3D versus Traditional methods in Mexico City.

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Mendoza Oropeza, Laura; Ortiz Sánchez, Ricardo; Ojeda Villagómez, Raúl

2015-01-01

In the UNAM Faculty of Odontology, we use a stereoscopic 3D teaching method that has grown more common in the last year, which makes it important to know whether students can learn better with this strategy. The objective of the study is to know, if the 4th year students of the bachelor's degree in dentistry learn more effectively with the use of stereoscopic 3D than the traditional method in Orthodontics. first, we selected the course topics, to be used for both methods; the traditional method using projection of slides and for the stereoscopic third dimension, with the use of videos in digital stereo projection (seen through "passive" polarized 3D glasses). The main topic was supernumerary teeth, including and diverted from their guide eruption. Afterwards we performed an exam on students, containing 24 items, validated by expert judgment in Orthodontics teaching. The results of the data were compared between the two educational methods for determined effectiveness using the model before and after measurement with the statistical package SPSS 20 version. The results presented for the 9 groups of undergraduates in dentistry, were collected with a total of 218 students for 3D and traditional methods, we found in a traditional method a mean 4.91, SD 1.4752 in the pretest and X=6.96, SD 1.26622, St Error 0.12318 for the posttest. The 3D method had a mean 5.21, SD 1.996779 St Error 0.193036 for the pretest X= 7.82, SD =0.963963, St Error 0.09319 posttest; the analysis of Variance between groups F= 5.60 Prob > 0.0000 and Bartlett's test for equal variances 21.0640 Prob > chi2 = 0.007. These results show that the student's learning in 3D means a significant improvement as compared to the traditional teaching method and having a strong association between the two methods. The findings suggest that the stereoscopic 3D method lead to improved student learning compared to traditional teaching.

A Study on the Effect of Mathematics Teaching Provided through Drama on the Mathematics Ability of Six-Year-Old Children

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Erdogan, Serap; Baran, Gulen

2009-01-01

This study was conducted to examine the effect of mathematics teaching given through the drama method on the mathematical ability of six-year-old children. The research was conducted in Ankara on 105 children from the kindergarten classes of two different primary schools of the Ministry of National Education, which are at middle socio-economic…

Teaching Mathematics for Spatial Justice: Beyond a Victory Narrative

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Rubel, Laurie H.; Hall-Wieckert, Maren; Lim, Vivian Y.

2016-01-01

In this reflective essay, Laurie H. Rubel, Maren Hall-Wieckert, and Vivian Y. Lim present a design heuristic for teaching mathematics for spatial justice (TMSpJ) based on their development of two curricular modules, one about the state lottery and the other about financial services in a city. Spatial tools, including data visualizations on maps…

Developing a deeper understanding of mathematics teaching expertise : An examination of three Chinese mathematics teachers’ resource systems as windows into their work and expertise

OpenAIRE

Pepin , Birgit; Xu , Binyan; Trouche , Luc; Wang , Chongyang

2017-01-01

International audience; In order to develop a deeper understanding of mathematics teaching expertise, in this study we use the Documentational Approach to Didactics to explore the resource systems of three Chinese mathematics Bexpert^ teachers. Exploiting theWestern and Eastern literature we examine the notion of Bmathematics teaching expertise^, as it is perceived in the East and the West. The data consist of two rounds of in-depth interviews, observations and teachers’ representations of th...

Investigating the Knowledge Needed for Teaching Mathematics: An Exploratory Validation Study Focusing on Teaching Practices

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Charalambous, Charalambos Y.

2016-01-01

Central in the frameworks proposed to capture the knowledge needed for teaching mathematics is the assumption that teachers need more than pure subject-matter knowledge. Validation studies exploring this assumption by recruiting contrasting populations are relatively scarce. Drawing on a sample of 644 Greek-Cypriots preservice and inservice…

Effectiveness of teaching and learning mathematics for Thai university engineering students through a combination of activity and lecture based classroom

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Parinya S. Ngiamsunthorn

2014-04-01

Full Text Available There are concerns of developing effective pedagogical practices for teaching mathematics for engineering students as many engineering students experience difficulties in learning compulsory mathematics subjects in their first and second years of the degree. This paper aims to investigate the effectiveness of using a variety of teaching and learning approaches including lecture based learning, activity based learning, e-learning via learning management system (LMS and practice or tutorial session in mathematics subjects for engineering students. This study was carried out on 160 students who need to enroll three basic mathematics subjects (MTH101, MTH102 and MTH201 for an engineering degree during academic year 2011 – 2012. The students were divided into three groups according to their majors of study. The first two groups of students were given a combination of various teaching approaches for only one semester (either MTH102 or MTH201, while the last group was given a combination of various teaching approaches for two semesters (both MTH102 and MTH201. To evaluate the effectiveness of teaching and learning, examination results, questionnaires on attitude towards teaching and learning, and a formal university teaching evaluation by students were collected and analyzed. It is found that different students perceive mathematics contents from different teaching methods according to their preferred learning styles. Moreover, most students in all groups performed at least the same or better in their final subject (MTH201. However, there is an interesting finding that low proficiency students in earlier mathematics subjects who received a combination of various teaching approaches for two semesters can improve their examination results better than other groups, on average. This is also reflected from an increasing average score on teaching evaluation from this group of students about teaching techniques.

Some lessons in mathematics: a comparison of mathematics teaching in Japan and America

OpenAIRE

Jones, Keith

1997-01-01

As part of the Third International Mathematics and Science Study (TIMSS), a representative sample of Year 9 classrooms in Japan and the United States were video-taped. Analysis of this data is enabling comparisons to be made of the teaching methods typically employed in these two countries. Findings suggest that while the typical US lesson emphasised skill acquisition, the typical Japanese lesson focused on the solving of complex problems through pupil exploration and presentation.

Unifying the Classical Approach with New Technologies: An Innovative Proposal for Teaching Mathematics in Engineering

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Sergio Amat

2015-08-01

Full Text Available The aim of this paper is to present a teaching experience developed in the Polytechnic University of Cartagena and, more specifically, in the subject of Mathematical Methods Applied to Civil Engineering, that belongs to the Master Degree of Paths, Channels and Ports. Our classes were a mix between the traditional system and the new educational system. Moreover, we tried to adapt the evaluation process to the new European Framework for Higher Education. We have used videos developed by us and by students in our classes. We have noticed that the interest and motivation in class has grown. Also the grades have improved. We did a survey during this academic year and the results were strongly positive for both students and teachers.

The Effect of Project-Based Learning on Student Self-Efficacy in a Developmental Mathematics Course

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Deutsch, Melissa

2017-01-01

Each year, post-secondary institutions across the nation enroll thousands of students into developmental mathematics courses. Success rates are low for students placed in developmental mathematics courses employing traditional teaching practices. Secondary institutions utilizing more engaging pedagogies and high impact practices, such as…

Puzzle based teaching versus traditional instruction in electrocardiogram interpretation for medical students--a pilot study.

Science.gov (United States)

Rubinstein, Jack; Dhoble, Abhijeet; Ferenchick, Gary

2009-01-13

Most medical professionals are expected to possess basic electrocardiogram (EKG) interpretation skills. But, published data suggests that residents' and physicians' EKG interpretation skills are suboptimal. Learning styles differ among medical students; individualization of teaching methods has been shown to be viable and may result in improved learning. Puzzles have been shown to facilitate learning in a relaxed environment. The objective of this study was to assess efficacy of teaching puzzle in EKG interpretation skills among medical students. This is a reader blinded crossover trial. Third year medical students from College of Human Medicine, Michigan State University participated in this study. Two groups (n = 9) received two traditional EKG interpretation skills lectures followed by a standardized exam and two extra sessions with the teaching puzzle and a different exam. Two other groups (n = 6) received identical courses and exams with the puzzle session first followed by the traditional teaching. EKG interpretation scores on final test were used as main outcome measure. The average score after only traditional teaching was 4.07 +/- 2.08 while after only the puzzle session was 4.04 +/- 2.36 (p = 0.97). The average improvement after the traditional session was followed up with a puzzle session was 2.53 +/- 1.94 while the average improvement after the puzzle session was followed with the traditional session was 2.08 +/- 1.73 (p = 0.67). The final EKG exam score for this cohort (n = 15) was 84.1 compared to 86.6 (p = 0.22) for a comparable sample of medical students (n = 15) at a different campus. Teaching EKG interpretation with puzzles is comparable to traditional teaching and may be particularly useful for certain subgroups of students. Puzzle session are more interactive and relaxing, and warrant further investigations on larger scale.

Developing Mathematical Knowledge for Teaching in a Methods Course: The Case of Function

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Steele, Michael D.; Hillen, Amy F.; Smith, Margaret S.

2013-01-01

This study describes teacher learning in a teaching experiment consisting of a content-focused methods course involving the mathematical knowledge for teaching function. Prospective and practicing teachers in the course showed growth in their ability to define function, to provide examples of functions and link them to the definition, in the…

The Marginalisation of Indigenous Students within School Mathematics and the Math Wars: Seeking Resolutions within Ethical Spaces

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Russell, Gale L.; Chernoff, Egan J.

2013-01-01

In mathematics education, there are (at least) two seemingly disparate and unethical issues that have been allowed to continue unresolved for decades: the math wars (traditional versus reform teaching and learning of mathematics) and the marginalisation of Indigenous students within K-12 mathematics. Willie Ermine, an Indigenous scholar, has…

Evaluating Views of Lecturers on the Consistency of Teaching Content with Teaching Approach: Traditional versus Reform Calculus

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Sevimli, Eyup

2016-01-01

This study aims to evaluate the consistency of teaching content with teaching approaches in calculus on the basis of lecturers' views. In this sense, the structures of the examples given in two commonly used calculus textbooks, both in traditional and reform classrooms, are compared. The content analysis findings show that the examples in both…

Modeling Sources of Teaching Self-Efficacy for Science, Technology, Engineering, and Mathematics Graduate Teaching Assistants.

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DeChenne, Sue Ellen; Koziol, Natalie; Needham, Mark; Enochs, Larry

2015-01-01

Graduate teaching assistants (GTAs) in science, technology, engineering, and mathematics (STEM) have a large impact on undergraduate instruction but are often poorly prepared to teach. Teaching self-efficacy, an instructor's belief in his or her ability to teach specific student populations a specific subject, is an important predictor of teaching skill and student achievement. A model of sources of teaching self-efficacy is developed from the GTA literature. This model indicates that teaching experience, departmental teaching climate (including peer and supervisor relationships), and GTA professional development (PD) can act as sources of teaching self-efficacy. The model is pilot tested with 128 GTAs from nine different STEM departments at a midsized research university. Structural equation modeling reveals that K-12 teaching experience, hours and perceived quality of GTA PD, and perception of the departmental facilitating environment are significant factors that explain 32% of the variance in the teaching self-efficacy of STEM GTAs. This model highlights the important contributions of the departmental environment and GTA PD in the development of teaching self-efficacy for STEM GTAs. © 2015 S. E. DeChenne et al. CBE—Life Sciences Education © 2015 The American Society for Cell Biology. This article is distributed by The American Society for Cell Biology under license from the author(s). It is available to the public under an Attribution–Noncommercial–Share Alike 3.0 Unported Creative Commons License (http://creativecommons.org/licenses/by-nc-sa/3.0).

The Effect of Peer Teaching on Mathematics Academic Achievement of the Undergraduate Students in Oman

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Abdelkarim, Ra'ed; Abuiyada, Reem

2016-01-01

This study explored the effects of peer teaching on mathematics academic achievement of the undergraduate students in Oman. The sample of this study composed of (32) undergraduate female students enrolled in the course, "Mathematics for Social Sciences I" in Mathematics and Sciences Unit in Dhofar University in spring semester 2014-2015.…

Using Research-Based Video-Cases to Help Pre-Service Primary Teachers Conceptualize a Contemporary View of Mathematics Teaching

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Lin, Pi-Jen

2005-01-01

The study inquired into the effect of research-based video-cases on pre-service teachers conceptualizing their understanding of contemporary mathematics teaching. The 43 participants enrolled in a Mathematics Method Course viewed and discussed 5 video-cases of primary teachers teaching. Journal entries, lesson plans, and microteaching observations…

Teaching Mathematical Modeling in Mathematics Education

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Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant

2016-01-01

Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…

Characterizing Mathematics Teaching Research Specialists' Mentoring in the Context of Chinese Lesson Study

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Gu, Feishi; Gu, Lingyuan

2016-01-01

This study examines how mathematics teaching research specialists mentor practicing teachers during post-lesson debriefs of a lesson study in China. Based on a systematic, fine-grained analysis of 107 h of videotaped mentoring meetings of 20 groups of teachers and teaching research specialists from different elementary schools, this study reveals…

Using Mental Imagery Processes for Teaching and Research in Mathematics and Computer Science

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Arnoux, Pierre; Finkel, Alain

2010-01-01

The role of mental representations in mathematics and computer science (for teaching or research) is often downplayed or even completely ignored. Using an ongoing work on the subject, we argue for a more systematic study and use of mental representations, to get an intuition of mathematical concepts, and also to understand and build proofs. We…

What Are We Afraid of? Arguments against Teaching Mathematics with Technology in the Professional Publications of Organisations for US Mathematicians

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Risser, Hilary Smith

2011-01-01

More than twenty years after the introduction of the first handheld graphing calculator the mathematics community appears to still be struggling with the use of technology in the teaching and learning of mathematics. One major venue for arguments against technology use in the teaching and learning of mathematics is the news magazines of…

Effective Mathematics Teaching in Finnish and Swedish Teacher Education Discourses

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Hemmi, Kirsti; Ryve, Andreas

2015-01-01

This article explores effective mathematics teaching as constructed in Finnish and Swedish teacher educators' discourses. Based on interview data from teacher educators as well as data from feedback discussions between teacher educators and prospective teachers in Sweden and Finland, the analysis shows that several aspects of the recent…

Geoplano in the teaching of mathematics: Perspectives and some aspects of its use in the classroom

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Dailson Evangelista Costa

2011-06-01

Full Text Available This article presents one of the researches carried out by the UFT Institutional Scholarship Program of Initiation to Teaching (PIBID. The topic addressed is about the teaching of plane geometry through Geoplano. We defend in this article, the idea that the teaching of mathematics using concrete or manipulatives materials becomes a possibility for the teaching. The Geoplano enables students to develop a better visual perception of geometric shapes facilitating the construction of certain problem situations, prompting students to investigate them, to solve them, and to engage in them constantly in the process. The perspective of the development of these activities is that one does not need to introduce a theme starting from the theory, but also from certain practical problems. In this sense, besides turning the teaching of math more "fun", such perspective will provide the learner the opportunity to experience situations different from the usual "boring lectures" thus contributing to the learning of mathematical knowledge. The proposal is to use the Rectangle Geoplano for teaching mathematical content creating new scenarios in the school environment, prioritizing research. We highlight some results obtained with the application of Geoplano in a public school, and the motivation that students showed in their use in math classes

Silent method for mathematics instruction: An overview of teaching subsets

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Sugiman, Apino, Ezi

2017-05-01

Generally, teachers use oral communication for teaching mathematics. Taking an opposite perspective, this paper describes how instructional practices for mathematics can be carried out namely a silent method. Silent method uses body language, written, and oral communication for classroom interaction. This research uses a design research approach consisting of four phases: preliminary, prototyping and developing the instruction, and assessment. There are four stages of silent method. The first stage is conditioning stage in which the teacher introduces the method and makes agreement about the `rule of the game'. It is followed by the second one, elaborating stage, where students guess and explore alternative answers. The third stage is developing mathematical thinking by structuring and symbolizing. Finally, the method is ended by reinforcing stage which aims at strengthening and reflecting student's understanding. In this paper, every stage is described on the basis of practical experiences in a real mathematics classroom setting.

Comparison of traditional and interactive teaching methods in a UK emergency department.

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Armstrong, Peter; Elliott, Tim; Ronald, Julie; Paterson, Brodie

2009-12-01

Didactic teaching remains a core component of undergraduate education, but developing computer assisted learning (CAL) packages may provide useful alternatives. We compared the effectiveness of interactive multimedia-based tutorials with traditional, lecture-based models for teaching arterial blood gas interpretation to fourth year medical students. Participants were randomized to complete a tutorial in either lecture or multimedia format containing identical content. Upon completion, students answered five multiple choice questions assessing post-tutorial knowledge, and provided feedback on their allocated learning method. Marks revealed no significant difference between either group. All lecture candidates rated their teaching as good, compared with 89% of the CAL group. All CAL users found multiple choice questions assessment useful, compared with 83% of lecture participants. Both groups highlighted the importance of interaction. CAL complements other teaching methods, but should be seen as an adjunct to, rather than a replacement for, traditional methods, thus offering students a blended learning environment.

THE INTEGRATION MODEL OF SYSTEMS OF DISTANCE AND OF TRADITIONAL MATHEMATICS LEARNING OF SENIOR PUPILS

OpenAIRE

Игорь Николаевич Макарьев

2013-01-01

In this article the author dwells on the content and structure of the model of integration of system of distance learning to mathematics of senior pupils and traditional paradigm of education. This kind of integration is based on such principles as independence, individualization, flexibility, nonlinearity, openness. Specifics of the methodological support of distance mathematics learning are also analyzed. Particularly the author asserts that the system of distance mathematics learning can t...

Visual arts and the teaching of the mathematical concepts of shape and space in Grade R classrooms

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Dianne Wilmot

2015-09-01

Full Text Available This article addresses the need for research in the areas of Grade R curriculum and pedagogy, Grade R teacher professional development, and early years mathematics teaching. More specifically, it responds to the need for teacher professional development in Grade R mathematics teaching of the geometric concepts of space and shape. The article describes a study about teachers’ understanding of how visual arts can be used as pedagogical modality. The study was prompted by the findings of a ‘Maths and Science through Arts and Culture Curriculum’ intervention undertaken with Grade R teachers enrolled for a Bachelor of Education (Foundation Phase degree at a South African university. Post-intervention, teachers’ classroom practices did not change, and they were not using visual arts to teach mathematical concepts. The lessons learned from the research intervention may contribute to the wider debate about Grade R teaching and children’s learning.

The stair-step approach in mathematics

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Sedrakyan, Hayk

2018-01-01

This book is intended as a teacher’s manual and as an independent-study handbook for students and mathematical competitors. Based on a traditional teaching philosophy and a non-traditional writing approach (the stair-step method), this book consists of new problems with solutions created by the authors. The main idea of this approach is to start from relatively easy problems and “step-by-step” increase the level of difficulty toward effectively maximizing students' learning potential. In addition to providing solutions, a separate table of answers is also given at the end of the book. A broad view of mathematics is covered, well beyond the typical elementary level, by providing more in depth treatment of Geometry and Trigonometry, Number Theory, Algebra, Calculus, and Combinatorics.

Fundamentals of teaching mathematics at university level

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Baumslag, Benjamin

2000-01-01

This unique book presents a personal and global approach to teaching mathematics at university level. It is impressively broad in its scope, and thought-provoking in its advice. The author writes with a love of his subject and the benefit of a long and varied career. He compares and contrasts various educational systems and philosophies. Furthermore, by constantly drawing on his own experiences and those of his colleagues, he offers useful suggestions on how teachers can respond to the problems they face. This book will interest educationalists, policy advisers, administrators, lecturers, and

Improving Mathematics Teaching as Deliberate Practice through Chinese Lesson Study

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Huang, Rongjin; Prince, Kyle M.; Barlow, Angela T.

2017-01-01

This study examined how a ninth grade teacher improved an Algebra I lesson through a lesson study approach. We used multiple data sources to investigate the improvement of the lesson towards student-centered mathematics instruction, perceived benefits of the teacher, and factors associated with the improvement of teaching. The lesson group…

Music and movement education as a form of motivation in teaching Greek traditional dances.

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Likesas, G; Zachopoulou, E

2006-04-01

Research has shown that motivation for participating in physical education, particularly in traditional dances, has decreased dramatically. The aim of this research was to examine whether a music and movement program would increase pleasure and intrinsic motivation of students in elementary education while teaching them Greek traditional dances. 232 students were divided into two groups, a trained group of 135 participants (72 boys, 63 girls) and a control group of 97 (53 boys, 44 girls). The trained group was taught using the music and movement teaching model of traditional dances. The control group was taught using the instructional or guided teaching method of traditional Greek dances. To measure effectiveness of the two methods was accomplished by the completion of McAuley's Intrinsic Motivation Inventory. Analysis of scores showed use of music and movement education had a positive effect on intrinsic motivation for dancing and active participation of students, especially of the trained boys' group.

Investigating Chinese Preschool Teachers' Beliefs in Mathematics Teaching from a Cross-Cultural Perspective

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Li, Xia; Liu, Song; DeBey, Mary; McFadden, Karen; Pan, Yue-Juan

2018-01-01

In China, preschool curriculum has undergone reform and profound changes. Much remains unknown, however, regarding preschool teachers' teaching beliefs after 30 years of curriculum reform and adaptation. This study aimed to address the issue and investigate teachers' beliefs concerning teaching mathematics. Twelve preschool teachers in China…

Effects of Teaching Strategies on Student Motivation to Learn in High School Mathematics Classes

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Toles, Ann

2010-01-01

To succeed in an increasing technological and global society, students need to develop strong mathematical and problem-solving skills. This qualitative grounded theory study examined student perceptions of the ways in which teaching strategies in high school mathematics classes affect student motivation to learn the subject. Study participants…

Structural equation modeling assessing relationship between mathematics beliefs, teachers' attitudes and teaching practices among novice teachers in Malaysia

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Borhan, Noziati; Zakaria, Effandi

2017-05-01

This quantitative study was conducted to investigate the perception level of novice teachers about mathematics belief, teachers' attitude towards mathematics and teaching practices of mathematics in the classroom. In addition, it also aims to identify whether there is a correspondence model with the data obtained and to identify the relationship between the variables of beliefs, attitudes and practices among novice teachers in Malaysia. A total of 263 primary novice teachers throughout the country were involved in this study were selected randomly. Respondents are required to provide a response to the questionnaire of 66 items related to mathematics beliefs, attitudes and practices of the teaching mathematics. There are ten sub-factors which have been established in this instrument for three major constructs using a Likert scale rating of five points. The items of the constructs undergo the exploratory factor analysis (EFA) and confirmatory factor analysis (CFA) procedure involve of unidimensionality test, convergent validity, construct validity and discriminant validity. Descriptive statistics were used to describe the frequency, percentage, the mean and standard deviation for completing some research questions that have been expressed. As for inferential statistical analysis, the researchers used structural equation modeling (SEM) to answer the question of correspondents model and the relationship between these three variables. The results of the study were found that there exist a correspondence measurement and structural model with the data obtained. While the relationship between variable found that mathematics beliefs have a significant influence on teachers' attitudes towards mathematics as well as the relationship between the attitudes with teaching practices. Meanwhile, mathematics belief had no significant relationship with mathematics teaching practices among novice teachers in Malaysia.

TIME-ON-TASK IN PRIMARY CLASSROOMS, DURING DIFFERENT TEACHING-LEARNING APPROACHES

OpenAIRE

Sachin Mohite; Meenal Dashputre

2017-01-01

The entire education system is moving from the teacher-centered teaching-learning approaches towards student-centered teaching-learning approaches, with anticipation that it would increase the learning outcomes. This empirical study was carried out to compare the traditional and non-traditional classrooms. It also tried to understand the effectiveness of the Alternate Instructions in the Mathematics and Primary Language (Marathi) classrooms. This study collected about 8000 snapshots from the ...

Epistemologies, beliefs and conceptions of mathematics teaching and learning : the theory, and what is manifested in mathematics teacher's practices in England, France and Germany

NARCIS (Netherlands)

Pepin, B.; Hudson, B.; Buchberger, F.; Kansanen, P.

1999-01-01

This paper firstly explores the issues raised in the literature concerning epistemologies, beliefs and conceptions of mathematics and its teaching and learning. Secondly, it analyses the ways in which mathematics teachers’ classroom practices in England, France and Germany reflect teachers’ beliefs

Investigating Classroom Teaching Competencies of Pre Service Elementary Mathematics Teachers

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Gokalp, Murat

2016-01-01

The study has sought answers to two major questions: What is the current situation in Elementary Mathematics Education programs at Faculty of Education in terms of classroom teaching competencies? To what extent do pre service teachers acquire these competencies? The research was conducted on 202 senior pre service teachers studying at the…

Using Video Prompting to Teach Mathematical Problem Solving of Real-World Video-Simulation Problems

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Saunders, Alicia F.; Spooner, Fred; Ley Davis, Luann

2018-01-01

Mathematical problem solving is necessary in many facets of everyday life, yet little research exists on how to teach students with more severe disabilities higher order mathematics like problem solving. Using a multiple probe across participants design, three middle school students with moderate intellectual disability (ID) were taught to solve…

The Culture of Exclusion in Mathematics Education and Its Persistence in Equity-Oriented Teaching

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Louie, Nicole L.

2017-01-01

In this article, I investigate the influence of the dominant culture characterizing mathematics education--which I term the "culture of exclusion"--on efforts to teach for equity. Analyzing a year of observations in an urban high school mathematics department, I found that this culture structured everyday instruction even for teachers…

The Prevalent Rate of Problem-Solving Approach in Teaching Mathematics in Ghanaian Basic Schools

Science.gov (United States)

Nyala, Joseph; Assuah, Charles; Ayebo, Abraham; Tse, Newel

2016-01-01

Stakeholders of mathematics education decry the rate at which students' performance are falling below expectation; they call for a shift to practical methods of teaching the subject in Ghanaian basic schools. The study explores the extent to which Ghanaian basic school mathematics teachers use problem-solving approach in their lessons. The…

Mathematics at University

DEFF Research Database (Denmark)

Winsløw, Carl

2015-01-01

Mathematics is studied in universities by a large number of students. At the same time it is a field of research for a (smaller) number of university teachers. What relations, if any, exist between university research and teaching of mathematics? Can research “support” teaching? What research...... and what teaching? In this presentation we propose a theoretical framework to study these questions more precisely, based on the anthropological theory of didactics. As a main application, the links between the practices of mathematical research and university mathematics teaching are examined...

Elementary Mathematics Teachers' Beliefs and Practices: Understanding the Influence of Teaching in a STEAM Setting

Science.gov (United States)

Negreiros, Melissa

2017-01-01

Many elementary mathematics teachers hold beliefs about the teaching and learning of mathematics and enact practices that are not aligned with the recommendations of reform efforts in the field of mathematics education (Stigler & Hiebert, 2009). For standards-based reform to gain any significant success, many teachers will have to alter the…

Puzzle based teaching versus traditional instruction in electrocardiogram interpretation for medical students – a pilot study

Science.gov (United States)

Rubinstein, Jack; Dhoble, Abhijeet; Ferenchick, Gary

2009-01-01

Background Most medical professionals are expected to possess basic electrocardiogram (EKG) interpretation skills. But, published data suggests that residents' and physicians' EKG interpretation skills are suboptimal. Learning styles differ among medical students; individualization of teaching methods has been shown to be viable and may result in improved learning. Puzzles have been shown to facilitate learning in a relaxed environment. The objective of this study was to assess efficacy of teaching puzzle in EKG interpretation skills among medical students. Methods This is a reader blinded crossover trial. Third year medical students from College of Human Medicine, Michigan State University participated in this study. Two groups (n = 9) received two traditional EKG interpretation skills lectures followed by a standardized exam and two extra sessions with the teaching puzzle and a different exam. Two other groups (n = 6) received identical courses and exams with the puzzle session first followed by the traditional teaching. EKG interpretation scores on final test were used as main outcome measure. Results The average score after only traditional teaching was 4.07 ± 2.08 while after only the puzzle session was 4.04 ± 2.36 (p = 0.97). The average improvement after the traditional session was followed up with a puzzle session was 2.53 ± 1.94 while the average improvement after the puzzle session was followed with the traditional session was 2.08 ± 1.73 (p = 0.67). The final EKG exam score for this cohort (n = 15) was 84.1 compared to 86.6 (p = 0.22) for a comparable sample of medical students (n = 15) at a different campus. Conclusion Teaching EKG interpretation with puzzles is comparable to traditional teaching and may be particularly useful for certain subgroups of students. Puzzle session are more interactive and relaxing, and warrant further investigations on larger scale. PMID:19144134

Puzzle based teaching versus traditional instruction in electrocardiogram interpretation for medical students – a pilot study

Directory of Open Access Journals (Sweden)

Dhoble Abhijeet

2009-01-01

Full Text Available Abstract Background Most medical professionals are expected to possess basic electrocardiogram (EKG interpretation skills. But, published data suggests that residents' and physicians' EKG interpretation skills are suboptimal. Learning styles differ among medical students; individualization of teaching methods has been shown to be viable and may result in improved learning. Puzzles have been shown to facilitate learning in a relaxed environment. The objective of this study was to assess efficacy of teaching puzzle in EKG interpretation skills among medical students. Methods This is a reader blinded crossover trial. Third year medical students from College of Human Medicine, Michigan State University participated in this study. Two groups (n = 9 received two traditional EKG interpretation skills lectures followed by a standardized exam and two extra sessions with the teaching puzzle and a different exam. Two other groups (n = 6 received identical courses and exams with the puzzle session first followed by the traditional teaching. EKG interpretation scores on final test were used as main outcome measure. Results The average score after only traditional teaching was 4.07 ± 2.08 while after only the puzzle session was 4.04 ± 2.36 (p = 0.97. The average improvement after the traditional session was followed up with a puzzle session was 2.53 ± 1.94 while the average improvement after the puzzle session was followed with the traditional session was 2.08 ± 1.73 (p = 0.67. The final EKG exam score for this cohort (n = 15 was 84.1 compared to 86.6 (p = 0.22 for a comparable sample of medical students (n = 15 at a different campus. Conclusion Teaching EKG interpretation with puzzles is comparable to traditional teaching and may be particularly useful for certain subgroups of students. Puzzle session are more interactive and relaxing, and warrant further investigations on larger scale.

Mathematical modelling

DEFF Research Database (Denmark)

Blomhøj, Morten

2004-01-01

Developing competences for setting up, analysing and criticising mathematical models are normally seen as relevant only from and above upper secondary level. The general belief among teachers is that modelling activities presuppose conceptual understanding of the mathematics involved. Mathematical...... roots for the construction of important mathematical concepts. In addition competences for setting up, analysing and criticising modelling processes and the possible use of models is a formative aim in this own right for mathematics teaching in general education. The paper presents a theoretical...... modelling, however, can be seen as a practice of teaching that place the relation between real life and mathematics into the centre of teaching and learning mathematics, and this is relevant at all levels. Modelling activities may motivate the learning process and help the learner to establish cognitive...

A study about teaching quadratic functions using mathematical models and free software

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Nepomucena, T. V.; da Silva, A. C.; Jardim, D. F.; da Silva, J. M.

2017-12-01

In the face of the reality of teaching Mathematics in Basic Education in Brazil, specially relating teach functions focusing their relevance to the student’s academic development in Basic and Superior Education, this work proposes the use of educational software to help the teaching of functions in Basic Education since the computers and software show as an outstanding option to help the teaching and learning processes. On the other hand, the study also proposes the use of Didactic Transposition as a methodology investigation and research. Along with this survey, some teaching interventions were applied to detect the main difficulties in the teaching process of functions in the Basic Education, analyzing the results obtained along the interventions in a qualitative form. Considering the discussion of the results at the end of the didactic interventions, it was verified that the results obtained were satisfactory.

Introducing a Symbolic Interactionist Approach on Teaching Mathematics: The Case of Revoicing as an Interactional Strategy in the Teaching of Probability

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Eckert, Andreas; Nilsson, Per

2017-01-01

This study examines an interactional view on teaching mathematics, whereby meaning is co-produced with the students through a process of negotiation. Further, teaching is viewed from a symbolic interactionism perspective, allowing the analysis to focus on the teacher's role in the negotiation of meaning. Using methods inspired by grounded theory,…

Moving beyond Solving for "x": Teaching Abstract Algebra in a Liberal Arts Mathematics Course

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Cook, John Paul

2015-01-01

This paper details an inquiry-based approach for teaching the basic notions of rings and fields to liberal arts mathematics students. The task sequence seeks to encourage students to identify and comprehend core concepts of introductory abstract algebra by thinking like mathematicians; that is, by investigating an open-ended mathematical context,…

Reflective Implementation of DERIVE in Teaching Mathematics at the University of Food Technology, Plovdiv

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Dimitrova, Eva D.

2007-01-01

The Department of Mathematics at the University of Food Technology, Plovdiv, Bulgaria, has introduced the Computer Algebra System DERIVE into the Mathematics courses with a view to increasing student motivation and understanding of the material taught as well as the efficiency of the teaching process. With the aim of investigating the effect of…

Gender preference between traditional and PowerPoint methods of teaching gross anatomy.

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Nuhu, Saleh; Adamu, Lawan Hassan; Buba, Mohammed Alhaji; Garba, Sani Hyedima; Dalori, Babagana Mohammed; Yusuf, Ashiru Hassan

2018-01-01

Teaching and learning process is increasingly metamorphosing from the traditional chalk and talk to the modern dynamism in the information and communication technology. Medical education is no exception to this dynamism more especially in the teaching of gross anatomy, which serves as one of the bases of understanding the human structure. This study was conducted to determine the gender preference of preclinical medical students on the use of traditional (chalk and talk) and PowerPoint presentation in the teaching of gross anatomy. This was cross-sectional and prospective study, which was conducted among preclinical medical students in the University of Maiduguri, Nigeria. Using simple random techniques, a questionnaire was circulated among 280 medical students, where 247 students filled the questionnaire appropriately. The data obtained was analyzed using SPSS version 20 (IBM Corporation, Armonk, NY, USA) to find the method preferred by the students among other things. Majority of the preclinical medical students in the University of Maiduguri preferred PowerPoint method in the teaching of gross anatomy over the conventional methods. The Cronbach alpha value of 0.76 was obtained which is an acceptable level of internal consistency. A statistically significant association was found between gender and preferred method of lecture delivery on the clarity of lecture content where females prefer the conventional method of lecture delivery whereas males prefer the PowerPoint method, On the reproducibility of text and diagram, females prefer PowerPoint method of teaching gross anatomy while males prefer the conventional method of teaching gross anatomy. There are gender preferences with regard to clarity of lecture contents and reproducibility of text and diagram. It was also revealed from this study that majority of the preclinical medical students in the University of Maiduguri prefer PowerPoint presentation over the traditional chalk and talk method in most of the

An Exploration of the Preparation and Organization of Teaching Practice Exercise to Prospective Science and Mathematics Teachers toward Improving Teaching Profession at Morogoro Teachers' College

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Mungure, Daudi Mika

2016-01-01

This paper explored the preparation and organization of teaching practice exercise to prospective science and mathematics teachers in Tanzania teachers college specifically Morogoro Teachers' College toward improving teaching profession. Due to the challenges stated by different scholars on preparation and organization of teaching practice…

Developing Employability Skills in Information System Graduates: Traditional vs. Innovative Teaching Methods

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Osmani, Mohamad; Hindi, Nitham M.; Weerakkody, Vishanth

2018-01-01

It is widely acknowledged that traditional teaching methods such as lectures, textbooks and case study techniques on their own are not adequate to improving the most in-demand employability skills for graduates. The aim of this article is to explore the potential impact that novel learning and teaching methods can have on improving the…

The Effect of Blended Learning in Mathematics Course

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Lin, Ya-Wen; Tseng, Chih-Lung; Chiang, Po-Jui

2017-01-01

With the advent of the digital age, traditional didactic teaching and online learning have been modified and gradually replaced by "Blended Learning." The purpose of this study was to explore the influences of blended learning pedagogy on junior high school student learning achievement and the students' attitudes toward mathematics. To…

Mathematics teachers' metacognitive skills and mathematical language in the teaching-learning of trigonometric functions in township schools / Johanna Sandra Fransman

OpenAIRE

Fransman, Johanna Sandra

2014-01-01

Metacognition is commonly understood in the context of the learners and not their teachers. Extant literature focusing on how Mathematics teachers apply their metacognitive skills in the classroom, clearly distinguishes between teaching with metacognition (TwM) referring to teachers thinking about their own thinking and teaching for metacognition (TfM) which refers to teachers creating opportunities for learners to reflect on their thinking. However, in both of these cases, thinking requires ...

Perspective for applying traditional and inovative teaching and learning methods to nurses continuing education

OpenAIRE

Bendinskaitė, Irmina

2015-01-01

Bendinskaitė I. Perspective for applying traditional and innovative teaching and learning methods to nurse’s continuing education, magister thesis / supervisor Assoc. Prof. O. Riklikienė; Departament of Nursing and Care, Faculty of Nursing, Lithuanian University of Health Sciences. – Kaunas, 2015, – p. 92 The purpose of this study was to investigate traditional and innovative teaching and learning methods perspective to nurse’s continuing education. Material and methods. In a period fro...

Developing a deeper understanding of mathematics teaching expertise : an examination of three Chinese mathematics teachers’ resource systems as windows into their work and expertise

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Pepin, B.E.U.; Xu, B.; Trouche, L.; Wang, C.

2017-01-01

In order to develop a deeper understanding of mathematics teaching expertise, in this study we use the Documentational Approach to Didactics to explore the resource systems of three Chinese mathematics “expert” teachers. Exploiting the Western and Eastern literature we examine the notion of

基于区间模糊综合评判的大学数学课堂教学评价%Evaluation of College Mathematics Teaching Based on Interval-valued Fuzzy Sets

Institute of Scientific and Technical Information of China (English)

李得超

2012-01-01

Fuzzy comprehensive evaluation is more and more important in teaching evaluation. Since it can reflect the ambiguity and uncertainty of things better than others, interval-valued fuzzy set can reduce the loss of information effectively. In order to evaluate objectively and scientifically the university class- room teaching, a model of college mathematics classroom teaching evaluation based on interval-valued fuzz- y sets is shown. It is illustrated that this method of college mathematics classroom teaching evaluation could evaluate college mathematics classroom teaching more accurately and comprehensively than traditional ones.%模糊综合评价在高校教学评价工作中发挥着越来越重要的作用.由于区间值模糊集在信息处理过程中能有效地减少模糊信息的丢失,本文引入了基于区间值模糊综合评判的大学数学课堂评价模式,并实证了此大学数学课堂评价方法较传统的模糊综合评价法更能准确地、全面地评价大学数学课堂教学.

A Network for Integrated Science and Mathematics Teaching and Learning. NCSTL Monograph Series, #2.

Science.gov (United States)

Berlin, Donna F.; White, Arthur L.

This monograph presents a summary of the results of the Wingspread Conference in April, 1991 concerning the viability and future of the concept of integration of mathematics and science teaching and learning. The conference focused on three critical issues: (1) development of definitions of integration and a rationale for integrated teaching and…

Science and Mathematics Teaching Efficacy Beliefs of Pre-School Teachers

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Aydogdu, Bülent; Peker, Murat

2016-01-01

The aim of this research was to examine science and mathematics teaching efficacy beliefs of pre-school teachers in terms of some variables. The sample of the study was comprised of 191 pre-school teachers working in a city in Aegean Region of Turkey. Since it attempted to define self-efficacy beliefs of pre-school teachers toward science and…

Teaching Methods in Mathematics and the Current Pedagogical Point of View in School Education.

OpenAIRE

岩崎, 潔; Kiyosi, Iwasaki

1995-01-01

It should be a basic principal that studies in teaching profession in universities should take into consideration the current pedagogical points of view in education and the future prospects of that education. This paper discusses the findings of a survey on the degree of recognition that students in our Math courses have about the currents pedagogical understading of teacher trainig. In this paper I will consider how to teach effectively teaching methods in Mathematics.

Effects of Mathematics Integration in a Teaching Methods Course on Self-Efficacy of Preservice Agricultural Education Teachers

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Stripling, Christopher T.; Roberts, T. Grady

2013-01-01

Teachers who are efficacious persevere through challenges in the learning environment and put forth more effort in designing learning activities. The purpose of this study was to determine the effects of mathematics teaching and integration strategies (MTIS) on preservice agricultural teachers' personal mathematics efficacy, mathematics teaching…

Preservice Teachers' Beliefs and Attitude about Teaching and Learning Mathematics through Music: An Intervention Study

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An, Song A.; Ma, Tingting; Capraro, Mary Margaret

2011-01-01

This article presents exploratory research investigating the integration of music and a mathematics lesson as an intervention to promote preservice teachers' attitude and confidence and to extend their beliefs toward teaching mathematics integrated with music. Thirty students were randomly selected from 64 preservice teachers in a southern…

Growing of the mathematical thinking imaginative to students in designing of the teaching aids for CWD towards to joyful learning

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Sugiman; Sugiharti, E.; Kurniawati, N. F.

2018-03-01

Government and the private parties had also organized of Special School (SS) and Inclusive School. SS requires of math teachers who were professional in the material, but also master the needs of Children with Disabilities (CwD) in teaching-learning process. The problem: How to design the Teaching Aids for CwD through Extra-Curriculum Training (ECT) activities to Joyful Learning? The purposes of this research: (1) To find new ways how to grow the imaginative in mathematical thinking for students of Mathematics Education. (2) To find a Teaching Aids Design that suitable for CwD who studying in SS. (3) In order to create a Teaching Aids for CwD through activities based on ECT to Joyful Learning. The research method was done by qualitative approach. The research subjects were 6 students of Mathematics Education Study Program of FMIPA UNNES who were interested in attending of the training activities based on ECT. The results: (1) ECT can be a place to grow an Imaginative in Mathematical Thinking of students, (2) created the design of the teaching aids for CwD through activities based on ECT to Joyful Learning as a mirror of the imaginative growth in mathematical thinking for students.

Elementary Teachers' Perceptions of Mathematics Instruction in Montessori and Traditional Classrooms

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Kofa, Linda

2017-01-01

Students in grades 3 and 4 attending a traditional public elementary school in a northeastern state did not meet proficiency levels in mathematics as measured by the state's assessment system. Published reports indicated that students attending the Montessori programs were more proficient in solving math problems compared to students in…

Assessment for Learning in Norway and Portugal: The Case of Primary School Mathematics Teaching

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Nortvedt, Guri A.; Santos, Leonor; Pinto, Jorge

2016-01-01

In this study, we aim to understand the forces driving assessment for learning (AfL) in primary school teaching. By applying a case study design, including the two cases of Norway and Portugal and using mathematics teaching as an example, available policy documents and research reports are analysed to identify the differences and similarities that…

Does Gender Inequality Influence Interest in Pursuing a Career in Science or Mathematics Teaching?

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Morales, Marie Paz E.; Avilla, Ruel A.; Espinosa, Allen A.

2016-01-01

The present study explored gender inequality in K to 12 basic education, based on the experiences of first year pre-service science and mathematics teachers. It also determined if pre-service teachers' pursuit of a career in science or mathematics teaching was related to gender influences. A survey instrument was used to gather data for the study.…

THE TEACHING OF MATHEMATICS WITH MEDIATING TOOLS: MOODLE WITH GEOGEBRA AND WEBQUEST FOR THE LEARNING OF MATHEMATICAL KNOWLEDGE

Directory of Open Access Journals (Sweden)

Graciela Aluizio Reali

2013-07-01

Full Text Available Much has been thought through about how to make the teaching and learning of scientific content more significant in order to collaborate with education. In this sense, it is up to the teacher to know aspects of human behavior to mediate and facilitate the interpretation of incoming information to students so that this information is transformed into knowledge. Therefore, the educator has seen its role as a transmitter of information turning into a facilitator of the transformation of this information into knowledge, a process that depends on both the teacher and the student. Thus, this work presents some aspects related to the teaching and learning of mathematics, highlighting the use of information and communication technologies (ICTs as mediating and helpful tools of learning. It also presents a virtual learning environment, Moodle, which comprehends Geogebra software, presented in a WebQuest so that together they may be used in the future for the teaching and learning of mathematics in Ourinhos- Fatec Technology College, São Paulo- - Brazil. It is expected, by means of this work, to contribute to discussions and reflections on some emblematic issues of this new practice and mode, as well as disseminate and encourage the use of Geogebra application.

Comparison of Student Test Scores in a Coordinate Plane Unit Using Traditional Classroom Techniques Versus Traditional Techniques Coupled with an Ethnomathematics Software at Torch Middle School.

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Magallanes, Adriana Moreno

In response to low achievement in mathematics at a middle school, an ethnomathematic approach was used to teach coordinate planes. Whether there were achievement differences between students taught by the culturally sensitive approach and those taught by a traditional method was studied. Data were collected from the coordinate planes unit…

Design and Development Computer-Based E-Learning Teaching Material for Improving Mathematical Understanding Ability and Spatial Sense of Junior High School Students

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Nurjanah; Dahlan, J. A.; Wibisono, Y.

2017-02-01

This paper aims to make a design and development computer-based e-learning teaching material for improving mathematical understanding ability and spatial sense of junior high school students. Furthermore, the particular aims are (1) getting teaching material design, evaluation model, and intrument to measure mathematical understanding ability and spatial sense of junior high school students; (2) conducting trials computer-based e-learning teaching material model, asessment, and instrument to develop mathematical understanding ability and spatial sense of junior high school students; (3) completing teaching material models of computer-based e-learning, assessment, and develop mathematical understanding ability and spatial sense of junior high school students; (4) resulting research product is teaching materials of computer-based e-learning. Furthermore, the product is an interactive learning disc. The research method is used of this study is developmental research which is conducted by thought experiment and instruction experiment. The result showed that teaching materials could be used very well. This is based on the validation of computer-based e-learning teaching materials, which is validated by 5 multimedia experts. The judgement result of face and content validity of 5 validator shows that the same judgement result to the face and content validity of each item test of mathematical understanding ability and spatial sense. The reliability test of mathematical understanding ability and spatial sense are 0,929 and 0,939. This reliability test is very high. While the validity of both tests have a high and very high criteria.

Information technology in university-level mathematics teaching and learning: a mathematician's point of view

Directory of Open Access Journals (Sweden)

Alexandre Borovik

2011-12-01

Full Text Available Although mathematicians frequently use specialist software in direct teaching ofmathematics, as a means of delivery e-learning technologies have so far been lesswidely used. We (mathematicians insist that teaching methods should be subjectspecificand content-driven, not delivery-driven. We oppose generic approaches toteaching, including excessively generalist, content-free, one-size-fits-allpromotion of information and communications technology. This stance is fullyexpressed, for example, in the recent Teaching Position Statement from the LondonMathematical Society (2010 and is supported by a recent report from the NationalUnion of Students (2010, 5: “Not every area of study needed or was compatiblewith e-learning, and so to assume it would grant blanket advantages was notaccurate”. This paper is an attempt to explain mathematicians' selectivity in use ofinformation and communications technology and its guiding principles. The paperis addressed to our non-mathematician colleagues and is not intended to be a surveyof the existing software and courseware for mathematics teaching – the corpus ofexisting solutions is enormous and its discussion inevitably involves hardcoremathematics.

Learning to Attend to Precision: The Impact of Micro-Teaching Guided by Expert Secondary Mathematics Teachers on Pre-Service Teachers' Teaching Practice

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Cheng, Jing

2017-01-01

Micro-teaching at universities and student teaching in secondary schools are standard forms of practice training for pre-service mathematics teachers in Chinese university teacher education programs. The former is guided by university professors, and the latter is guided by school teachers. In recent years, a special kind of micro-teaching…

Classroom-Based Integration of Text-Messaging in Mathematics Teaching-Learning Process

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Aunzo, Rodulfo T., Jr.

2017-01-01

A lot of teachers are complaining that students are "texting" inside the classroom even during class hours. With this, this research study "on students' perception before the integration and the students' attitude after the integration of text messaging inside the classroom during the mathematics teaching-learning process was…

From Biology to Mathematical Models and Back: Teaching Modeling to Biology Students, and Biology to Math and Engineering Students

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Chiel, Hillel J.; McManus, Jeffrey M.; Shaw, Kendrick M.

2010-01-01

We describe the development of a course to teach modeling and mathematical analysis skills to students of biology and to teach biology to students with strong backgrounds in mathematics, physics, or engineering. The two groups of students have different ways of learning material and often have strong negative feelings toward the area of knowledge…

University Science and Mathematics Education in Transition

DEFF Research Database (Denmark)

Skovsmose, Ole; Valero, Paola; Christensen, Ole Ravn

configuration poses to scientific knowledge, to universities and especially to education in mathematics and science. Traditionally, educational studies in mathematics and science education have looked at change in education from within the scientific disciplines and in the closed context of the classroom....... Although educational change is ultimately implemented in everyday teaching and learning situations, other parallel dimensions influencing these situations cannot be forgotten. An understanding of the actual potentialities and limitations of educational transformations are highly dependent on the network...... of educational, cultural, administrative and ideological views and practices that permeate and constitute science and mathematics education in universities today. University Science and Mathematics Education in Transition contributes to an understanding of the multiple aspects and dimensions of the transition...

Negotiating about Perceived Value Differences in Mathematics Teaching: The Case of Immigrant Teachers in Australia

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Seah, Wee Tiong

2005-01-01

This paper reports on a qualitative research study exploring the socialisation experiences of immigrant secondary mathematics teachers practising in Australia. Teacher perception of differences in the ways their respective home and the Australian (host) cultures value aspects of mathematics teaching and learning was observed to lead to dissonance.…

The analysis of mathematics teachers' learning on algebra function limit material based on teaching experience difference

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Ma'rufi, Budayasa, I. Ketut; Juniati, Dwi

2017-08-01

The aim of this study was to describe the analysis of mathematics teachers' learning on algebra function limit material based on teaching experience difference. The purpose of this study is to describe the analysis of mathematics teacher's learning on limit algebraic functions in terms of the differences of teaching experience. Learning analysis focused on Pedagogical Content Knowledge (PCK) of teachers in mathematics on limit algebraic functions related to the knowledge of pedagogy. PCK of teachers on limit algebraic function is a type of specialized knowledge for teachers on how to teach limit algebraic function that can be understood by students. Subjects are two high school mathematics teacher who has difference of teaching experience they are one Novice Teacher (NP) and one Experienced Teacher (ET). Data are collected through observation of learning in the class, videos of learning, and then analyzed using qualitative analysis. Teacher's knowledge of Pedagogic defined as a knowledge and understanding of teacher about planning and organizing of learning, and application of learning strategy. The research results showed that the Knowledge of Pedagogy on subject NT in mathematics learning on the material of limit function algebra showed that the subject NT tended to describe procedurally, without explaining the reasons why such steps were used, asking questions which tended to be monotonous not be guiding and digging deeper, and less varied in the use of learning strategies while subject ET gave limited guidance and opportunities to the students to find their own answers, exploit the potential of students to answer questions, provide an opportunity for students to interact and work in groups, and subject ET tended to combine conceptual and procedural explanation.

The Predictive Role of Teaching Styles on Omani Students' Mathematics Motivation

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Aldhafri, Said; Alrajhi, Marwa

2014-01-01

The current study explored the effects of two teaching styles, authoritative and authoritarian, on students' mathematics motivation. The two motivational constructs examined were intrinsic and extrinsic motivation. Data were collected from 425 Omani 8th grade students (males = 202/females = 223, mean age = 13.44, SD = 0.79). Through two…

Modelling the Intention to Use Technology for Teaching Mathematics among Pre-Service Teachers in Serbia

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Teo, Timothy; Milutinovic, Verica

2015-01-01

This study aims to examine the variables that influence Serbian pre-service teachers' intention to use technology to teach mathematics. Using the technology acceptance model (TAM) as the framework, we developed a research model to include subjective norm, knowledge of mathematics, and facilitating conditions as external variables to the TAM. In…

String figures as mathematics? an anthropological approach to string figure-making in oral tradition societies

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Vandendriessche, Eric

2015-01-01

This book addresses the mathematical rationality contained in the making of string figures. It does so by using interdisciplinary methods borrowed from anthropology, mathematics, history and philosophy of mathematics. The practice of string figure-making has long been carried out in many societies, and particularly in those of oral tradition. It consists in applying a succession of operations to a string (knotted into a loop), mostly using the fingers and sometimes the feet, the wrists or the mouth. This succession of operations is intended to generate a final figure. The book explores differ

The Implications of Selective Learning Models on Teaching Junior High School Mathematics.

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Wilson, Roosevelt L.

1978-01-01

Providing practitioners with synopses, illustrations based on classroom experiences, and research findings, this article analyzes the learning models of Jean Piaget, Robert Gagne, Robert Karplus, David Ausubel, and Jerome Bruner in terms of the implications for teaching junior high school mathematics. (JC)

Evaluation of Team-Based Learning and Traditional Instruction in Teaching Removable Partial Denture Concepts.

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Echeto, Luisa F; Sposetti, Venita; Childs, Gail; Aguilar, Maria L; Behar-Horenstein, Linda S; Rueda, Luis; Nimmo, Arthur

2015-09-01

The aim of this study was to evaluate the effectiveness of team-based learning (TBL) methodology on dental students' retention of knowledge regarding removable partial denture (RPD) treatment. The process of learning RPD treatment requires that students first acquire foundational knowledge and then use critical thinking skills to apply that knowledge to a variety of clinical situations. The traditional approach to teaching, characterized by a reliance on lectures, is not the most effective method for learning clinical applications. To address the limitations of that approach, the teaching methodology of the RPD preclinical course at the University of Florida was changed to TBL, which has been shown to motivate student learning and improve clinical performance. A written examination was constructed to compare the impact of TBL with that of traditional teaching regarding students' retention of knowledge and their ability to evaluate, diagnose, and treatment plan a partially edentulous patient with an RPD prosthesis. Students taught using traditional and TBL methods took the same examination. The response rate (those who completed the examination) for the class of 2013 (traditional method) was 94% (79 students of 84); for the class of 2014 (TBL method), it was 95% (78 students of 82). The results showed that students who learned RPD with TBL scored higher on the examination than those who learned RPD with traditional methods. Compared to the students taught with the traditional method, the TBL students' proportion of passing grades was statistically significantly higher (p=0.002), and 23.7% more TBL students passed the examination. The mean score for the TBL class (0.758) compared to the conventional class (0.700) was statistically significant with a large effect size, also demonstrating the practical significance of the findings. The results of the study suggest that TBL methodology is a promising approach to teaching RPD with successful outcomes.

The impact of instructor pedagogy on college calculus students' attitude toward mathematics

Science.gov (United States)

Sonnert, Gerhard; Sadler, Philip M.; Sadler, Samuel M.; Bressoud, David M.

2015-04-01

College calculus teaches students important mathematical concepts and skills. The course also has a substantial impact on students' attitude toward mathematics, affecting their career aspirations and desires to take more mathematics. This national US study of 3103 students at 123 colleges and universities tracks changes in students' attitudes toward mathematics during a 'mainstream' calculus course while controlling for student backgrounds. The attitude measure combines students' self-ratings of their mathematics confidence, interest in, and enjoyment of mathematics. Three major kinds of instructor pedagogy, identified through the factor analysis of 61 student-reported variables, are investigated for impact on student attitude as follows: (1) instructors who employ generally accepted 'good teaching' practices (e.g. clarity in presentation and answering questions, useful homework, fair exams, help outside of class) are found to have the most positive impact, particularly with students who began with a weaker initial attitude. (2) Use of educational 'technology' (e.g. graphing calculators, for demonstrations, in homework), on average, is found to have no impact on attitudes, except when used by graduate student instructors, which negatively affects students' attitudes towards mathematics. (3) 'Ambitious teaching' (e.g. group work, word problems, 'flipped' reading, student explanations of thinking) has a small negative impact on student attitudes, while being a relatively more constructive influence only on students who already enjoyed a positive attitude toward mathematics and in classrooms with a large number of students. This study provides support for efforts to improve calculus teaching through the training of faculty and graduate students to use traditional 'good teaching' practices through professional development workshops and courses. As currently implemented, technology and ambitious pedagogical practices, while no doubt effective in certain classrooms, do

Rethinking Critical Mathematics: A Comparative Analysis of Critical, Reform, and Traditional Geometry Instructional Texts

Science.gov (United States)

Brantlinger, Andrew

2011-01-01

This paper presents findings from a comparative analysis of three similar secondary geometry texts, one critical unit, one standards-based reform unit, and one specialist chapter. I developed the critical unit as I took the tenets of critical mathematics (CM) and substantiated them in printed curricular materials in which to teach as part of a…

A Study on the Role of Drama in Learning Mathematics

Directory of Open Access Journals (Sweden)

Elahe Masoum

2013-08-01

Full Text Available Present educational systems needs modern strategies for teaching and learning. Mathematics education has to change for students in elementary schools. One of the modern strategies, it is drama activities. The drama is as empirical aspect of learning. The student may learn from what they are doing in drama. They are so active instead having a passive shape in drama, in fact, students are learning, finding experiences and new paths from drama as well. The students could find its capabilities, recommendations and strength-weakness points through the different drama. This study is looking to investigate the role of drama so that have a better understanding of mathematical concepts in Zahedan's girly elementary students (2011-12. This research is used on 36 three grade students through quasi-experiment method. The emerging results clearly showed that using drama in mathematics education has been better results against the traditional teaching. Then it seems that cited method is suitable for elementary students to learn mathematical concepts.

Engagement with Mathematics Courseware in Traditional and Online Remedial Learning Environments: Relationship to Self-Efficacy and Achievement

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Spence, Dianna J.; Usher, Ellen L.

2007-01-01

This research applied Bandura's (1986) social cognitive theory to examine engagement with courseware in traditional and online remedial mathematics learning environments. The study investigated the relationship of courseware engagement to age, computer self-efficacy, computer playfulness, and self-efficacy for self-regulated mathematics learning.…

Exploring Teachers' Descriptions of 'Ways of Working with the Curriculum' in Teaching Mathematics and Statistics

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Umugiraneza, Odette; Bansilal, Sarah; North, Delia

2018-01-01

What teachers teach, how they teach it and when they teach it should be guided by the curriculum. This paper focuses on teachers' reports about how they integrate the curriculum documentation in teaching mathematics and statistics concepts. Questionnaires containing both Likert scale and closed and open-ended questions were administered to 75…

Evaluation of flipped teaching

OpenAIRE

Henderson, K.; Hobbs, C.; Last, K.

2017-01-01

We report on our evaluation of flipping the classroom for two modules: a compulsory first year calculus module and an optional second year coding theory module taken by Mathe-matics students at the University of the West of England, Bristol (UWE). Flipped teaching is a change to the traditional lecture model used in universities for hundreds of years. In the traditional model the lecturer is in charge of the class and largely dictates the content and pace at which this is delivered. The idea ...

Methodological pluralism in the teaching of Astronomy

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de Macedo, Josué Antunes; Voelzke, Marcos Rincon

2015-04-01

This paper discusses the feasibility of using a teaching strategy called methodological pluralism, consisting of the use of various methodological resources in order to provide a meaningful learning. It is part of a doctoral thesis, which aims to investigate contributions to the use of traditional resources combined with digital technologies, in order to create autonomy for future teachers of Natural Sciences and Mathematics in relation to themes in Astronomy. It was offered an extension course at the "Federal Institution of Education, Science and Technology" in the North of Minas Gerais (FINMG), Campus Januaria, for thirty-two students of licentiate courses in Physics, Mathematics and Biological Sciences, involving themes of Astronomy, in order to search and contribute to improving the training of future teachers. The following aspects are used: the mixed methodology, with pre-experimental design, combined with content analysis. The results indicate the rates of students' prior knowledge in relation to Astronomy was low; meaningful learning indications of concepts related to Astronomy, and the feasibility of using digital resources Involving technologies, articulated with traditional materials in the teaching of Astronomy. This research sought to contribute to the initial teacher training, especially in relation to Astronomy Teaching, proposing new alternatives to promote the teaching of this area of knowledge, extending the methodological options of future teachers.

Teaching Mathematics in the PC Lab--The Students' Viewpoints

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Schmidt, Karsten; Kohler, Anke

2013-01-01

The Matrix Algebra portion of the intermediate mathematics course at the Schmalkalden University Faculty of Business and Economics has been moved from a traditional classroom setting to a technology-based setting in the PC lab. A Computer Algebra System license was acquired that also allows its use on the students' own PCs. A survey was carried…

The Effectiveness of Computer-Assisted Instruction for Teaching Mathematics to Students with Specific Learning Disability

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Stultz, Sherry L.

2013-01-01

Using computers to teach students is not a new idea. Computers have been utilized for educational purposes for over 80 years. However, the effectiveness of these programs for teaching mathematics to students with specific learning disability is unclear. This study was undertaken to determine if computer-assisted instruction was as effective as…

Obstacles of Teaching Mathematics Faced by the Class Teachers in Jordan

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Nejem, Khamis Mousa; Muhanna, Waffa

2013-01-01

The purpose of the study is to investigate the obstacles of teaching mathematics faced by the class teachers in Jordan. To achieve this purpose a study sample of 192 male and female class teachers was selected randomly from government schools. The instrument of the study was a questionnaire used to investigate the obstacles of mathematics…

Malaysian Mathematics Teachers' Beliefs about the Nature of Teaching and Learning

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Zikre, Nuraini Mohd; Eu, Leong Kwan

2016-01-01

Teachers play a vital role in nurturing and shaping learners in school. Extensive researches have been conducted showing that beliefs in the nature of teaching and learning held by the teachers will affect their actual classroom practices. In Malaysia, not many studies have been done on mathematics teacher's beliefs at the national level. The…

Research about teaching of the mathematics to youth and adults with intellectual disabilities in the EJA

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Jessica de Brito

2014-08-01

Full Text Available For ages, Youth and Adults (EJA is drawing a profile of its own, as this school is comprised of a diverse social, economic and cultural. Thus, it is up to schools to organize themselves, ensuring necessary conditions for access, retention and quality education to all. In this space, we highlight a new student body of EJA which has been expanding in recent censuses school: pupils who are part of the target audience of Special Education. We control for mathematics teaching for students with intellectual disabilities. The present study aimed to conduct a mapping of scientific production (theses and dissertations, focusing on the teaching of mathematics to young people and adults with intellectual disabilities in the EJA. We carried out the survey with the bank of theses and dissertations Capes, starting this search for descriptors that addressed specific mathematics teaching in adult education. Among the selected studies, few productions were found on this topic. To fill this gap, it is urgent, research aimed at the interface between Special Education and Education of Youth and Adults.

A Problem-Based Learning Approach of Teaching Mathematics to Media Technology Students Using a Game Engine

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Triantafyllou, Evangelia; Misfeldt, Morten; Timcenko, Olga

2015-01-01

In this article, we present our idea of using a game engine (Unity) to teach Media Technology students mathematics-related concepts. In order to observe how the introduction of a technological tool, namely the game engine, changes the practices in mathematical work, we adopted the anthropological...

The teacher-disciple tradition and secret teaching in Chinese medicine.

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Solos, Ioannis; Liang, Yuan; Yue, Guang-xin

2014-01-01

The ancient teacher-disciple tradition is regarded as one of the most celebrated practices within the Chinese medicine world. Such traditions of secrecy, private wisdom and honor are deeply rooted in the theories of Confucianism. This paper only explores the surface of this ancient culture, by investigating relevant popular ancient texts and common Chinese proverbs, as well as utilizing personal experiences, in order to reflect on how the ancient Chinese perceived such practices within their own society and how secret teaching was passed on from teacher to student, including the revelation of secret formulas and their importance and how that tradition differs from our modern-day perspectives. Various rare manuscripts from the author's personal library are employed in order to provide relative examples of the importance of secret knowledge, and how these secrets applied in the traditional healing.

The language of mathematics telling mathematical tales

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Barton, Bill

2008-01-01

Everyday mathematical ideas are expressed differently in different languages. This book probes those differences and explores their implications for mathematics education, arguing for alternatives to how we teach and learn mathematics.

Development process of in-service training intended for teachers to perform teaching of mathematics with computer algebra systems

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Ardıç, Mehmet Alper; Işleyen, Tevfik

2018-01-01

In this study, we deal with the development process of in-service training activities designed in order for mathematics teachers of secondary education to realize teaching of mathematics, utilizing computer algebra systems. In addition, the results obtained from the researches carried out during and after the in-service training were summarized. Last section focuses on suggestions any teacher can use to carry out activities aimed at using computer algebra systems in teaching environments.

Teaching Math Online: Current Practices in Turkey

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Akdemir, Omur

2011-01-01

Changing nature of student population, developments in technology, and insufficient number of traditional universities have made online courses popular around the globe. This study was designed to investigate the current practices of teaching mathematics online in Turkish Universities through a qualitative inquiry. The snowball sampling method was…

Contextual Teaching and Learning Approach of Mathematics in Primary Schools

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Selvianiresa, D.; Prabawanto, S.

2017-09-01

The Contextual Teaching and Learning (CTL) approach is an approach involving active students in the learning process to discover the concepts learned through to knowledge and experience of the students. Similar to Piaget’s opinion that learning gives students an actives trying to do new things by relating their experiences and building their own minds. When students to connecting mathematics with real life, then students can looking between a conceptual to be learned with a concept that has been studied. So that, students can developing of mathematical connection ability. This research is quasi experiment with a primary school in the city of Kuningan. The result showed that CTL learning can be successful, when learning used a collaborative interaction with students, a high level of activity in the lesson, a connection to real-world contexts, and an integration of science content with other content and skill areas. Therefore, CTL learning can be applied by techer to mathematics learning in primary schools.

A Study of Formulaic Language in Traditional Greek Tales and Its Cultural Implications in Language Teaching

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Smaragda PAPADOPOULOU

2016-01-01

Full Text Available In our study we examine teaching mother tongue through faire and folk tales from the perspectives of recognizing clichés in fairy tales and myths, idiomatic phrases which work as morals, proverbs and very specific phrases of traditional tales’. We suggest that formulaic language can be involved in children’s language games at school and become a methodological tool for innovative approaches in Language and Teaching especially at the primary education. We search the sources from Greek traditional tales that could serve as teaching material for this option of teaching formulaic language in mother tongue. Cultural and geographical implications of the examples applied are noted as a suggestion for further discussion.

Applications of a Sequence of Points in Teaching Linear Algebra, Numerical Methods and Discrete Mathematics

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Shi, Yixun

2009-01-01

Based on a sequence of points and a particular linear transformation generalized from this sequence, two recent papers (E. Mauch and Y. Shi, "Using a sequence of number pairs as an example in teaching mathematics". Math. Comput. Educ., 39 (2005), pp. 198-205; Y. Shi, "Case study projects for college mathematics courses based on a particular…

Web-based versus traditional lecture: are they equally effective as a flexible bronchoscopy teaching method?

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Sterse Mata, Caio Augusto [UNIFESP; Ota, Luiz Hirotoshi [UNIFESP; Suzuki, Iunis [UNIFESP; Telles, Adriana [UNIFESP; Miotto, Andre [UNIFESP; Leao, Luiz Eduardo Villaca [UNIFESP

2012-01-01

This study compares the traditional live lecture to a web-based approach in the teaching of bronchoscopy and evaluates the positive and negative aspects of both methods. We developed a web-based bronchoscopy curriculum, which integrates texts, images and animations. It was applied to first-year interns, who were later administered a multiple-choice test. Another group of eight first-year interns received the traditional teaching method and the same test. the two groups were compared using the...

Mobile STEMship Discovery Center: K-12 Aerospace-Based Science, Technology, Engineering, and Mathematics (STEM) Mobile Teaching Vehicle

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2015-08-03

AND SUBTITLE Mobile STEMship Discovery Center: K-12 Aerospace-Based Science, Technology, Engineering, and Mathematics (STEM) Mobile Teaching Vehicle...Center program to be able to expose Science Technology, Engineering and Mathematics (STEM) space-inspired science centers for DC Metro beltway schools

Teaching mathematics online in the European Area of Higher Education: an instructor's point of view

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Juan, Angel A.; Steegmann, Cristina; Huertas, Antonia; Martinez, M. Jesus; Simosa, J.

2011-03-01

This article first discusses how information technologies are changing the way knowledge is delivered at universities worldwide. Then, the article reviews some of the most popular learning management systems available today and some of the most useful online resources in the areas of Mathematics and Statistics. After that, some long-term experiences regarding the teaching of online courses in those areas at the Open University of Catalonia are discussed. Finally, the article presents the results of a large-scale survey performed in Spain that aims to reflect instructors' opinions and feelings about potential benefits and challenges of teaching mathematics online, as well as the role of emergent technologies in the context of the European Area of Higher Education. Therefore, this article contributes to the existing literature as an additional reference point, one based on our long-term experience in a large-scale online environment, for discussions involving mathematical e-learning.

Does Teaching Geometry with Augmented Reality Affect the Technology Acceptance of Elementary School Mathematics Teacher Candidates?

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Önal, Nezih; Ibili, Emin; Çaliskan, Erkan

2017-01-01

The purpose of this research is to determine the impact of augmented reality technology and geometry teaching on elementary school mathematics teacher candidates' technology acceptance and to examine participants' views on augmented reality. The sample of the research was composed of 40 elementary school mathematics teacher candidates who were…

Instructors' use of technology in post-secondary undergraduate mathematics teaching: a local study

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Jesso, A. T.; Kondratieva, M. F.

2016-02-01

In this study, instructors of undergraduate mathematics from post-secondary institutions in Newfoundland were surveyed (N = 13) and interviewed (N = 8) about their use of, experiences with, and views on, technologically assisted teaching. It was found that the majority of them regularly use technologies for organizational and communication purposes. However, the use of math-specific technology such as computer algebra systems, or dynamic geometry software for instructional, exploratory, and creative activities with students takes place mostly on an individual basis, only occasionally, and is very much topic specific. This was even the case for those instructors who use technology proficiently in their research. The data also suggested that familiarity with and discussions of examples of technology implementation in teaching at regular and field-oriented professional development seminars within mathematics departments could potentially increase the use of math-specific technology by instructors.

Construction of teacher knowledge in context: Preparing elementary teachers to teach mathematics and science

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Lowery, Maye Norene Vail

1998-12-01

The purposes of this study were to further the understanding of how preservice teacher construct teacher knowledge and pedagogical content knowledge of elementary mathematics and science and to determine the extent of that knowledge in a school-based setting. Preservice teachers, university instructors, inservice teachers, and other school personnel were involved in this context-specific study. Evidence of the preservice teachers' knowledge construction (its acquisition, its dimensions, and the social context) was collected through the use of a qualitative methodology. Collected data included individual and group interviews, course documents, artifacts, and preservice teaching portfolios. Innovative aspects of this integrated mathematics and science elementary methods course included standards-based instruction with immediate access to field experiences. Grade-level teams of preservice and inservice teachers planned and implemented lessons in mathematics and science for elementary students. An on-site, portable classroom building served as a mathematics and science teaching and learning laboratory. A four-stage analysis was performed, revealing significant patterns of learning. An ecosystem of learning within a constructivist learning environment was identified to contain three systems: the university system; the school system; and the cohort of learners system. A mega system for the construction of teacher knowledge was revealed in the final analysis. Learning venues were discovered to be the conduits of learning in a situated learning context. Analysis and synthesis of data revealed an extensive acquisition of teacher knowledge and pedagogical content knowledge through identified learning components. Patience, flexibility, and communication were identified as necessities for successful teaching. Learning components included: collaboration with inservice teachers; implementation of discovery learning and hands-on/minds-on learning; small groupwork; lesson planning

ABOUT THE RELEVANCE AND METHODOLOGY ASPECTS OF TEACHING THE MATHEMATICAL MODELING TO PEDAGOGICAL STUDENTS

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Y. A. Perminov

2014-01-01

Full Text Available The paper substantiates the need for profile training in mathematical modeling for pedagogical students, caused by the total penetration of mathematics into different sciences, including the humanities; fast development of the information communications technologies; and growing importance of mathematical modeling, combining the informal scientific and formal mathematical languages with the unique opportunities of computer programming. The author singles out the reasons for mastering and using the mathematical apparatus by teaches in every discipline. Indeed, among all the modern mathematical methods and ideas, mathematical modeling retains its priority in all professional spheres. Therefore, the discipline of “Mathematical Modeling” can play an important role in integrating different components of specialists training in various profiles. By mastering the basics of mathematical modeling, students acquire skills of methodological thinking; learn the principles of analysis, synthesis, generalization of ideas and methods in different disciplines and scientific spheres; and achieve general culture competences. In conclusion, the author recommends incorporating the “Methods of Profile Training in Mathematical Modeling” into the pedagogical magistracy curricula. 

A comparative study teaching chemistry using the 5E learning cycle and traditional teaching with a large English language population in a middle-school setting

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McWright, Cynthia Nicole

For decades science educators and educational institutions have been concerned with the status of science content being taught in K-12 schools and the delivery of the content. Thus, educational reformers in the United States continue to strive to solve the problem on how to best teach science for optimal success in learning. The constructivist movement has been at the forefront of this effort. With mandatory testing nationwide and an increase in science, technology, engineering, and mathematics (STEM) jobs with little workforce to fulfill these needs, the question of what to teach and how to teach science remains a concern among educators and all stakeholders. The purpose of this research was to determine if students' chemistry knowledge and interest can be increased by using the 5E learning cycle in a middle school with a high population of English language learners. The participants were eighth-grade middle school students in a large metropolitan area. Students participated in a month-long chemistry unit. The study was a quantitative, quasi-experimental design with a control group using a traditional lecture-style teaching strategy and an experimental group using the 5E learning cycle. Students completed a pre-and post-student attitude in science surveys, a pretest/posttest for each mini-unit taught and completed daily exit tickets using the Expert Science Teaching Educational Evaluation Model (ESTEEM) instrument to measure daily student outcomes in main idea, student inquiry, and relevancy. Analysis of the data showed that there was no statistical difference between the two groups overall, and all students experienced a gain in content knowledge overall. All students demonstrated a statistically significant difference in their interest in science class, activities in science class, and outside of school. Data also showed that scores in writing the main idea and writing inquiry questions about the content increased over time.

Developing Teaching Materials Using Comic Media to Enhance Students’ Mathematical Communication

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Yulian, V. N.

2018-04-01

Teaching materials are a set of materials that are arranged systematically written or not, to create an environment or atmosphere that allows students to learn. The purpose of this study is to provide an overview of how the development of teaching materials using comic media that enhance mathematical communication, as well as feasible and effective teaching materials developed. Research method used in this research is Research and Development. In the sense of research contains about how to develop teaching materials through several stages such as validation by experts, as well as revisions. Sources of data used in this study were students and teachers SMK Bandung Barat. The results showed that the teaching materials developed feasible and effective use for students of class X SMK Bandung Barat. Teaching materials received a proper assessment of the experts after going through several stages of revision, in addition to the effective teaching materials used by students seen from the liveliness and the value of classical completeness that reaches more 85% of students. Based on the result of the research, it can be concluded that the developed teaching material gets the proper judgment from the expert, and effectively used in the learning by the students of X-1 Pharmacy class with the classical completeness reach 86% and the student activity is 91,4%.

Learning to teach secondary mathematics using an online learning system

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Cavanagh, Michael; Mitchelmore, Michael

2011-12-01

We report the results of a classroom study of three secondary mathematics teachers who had no prior experience teaching with technology as they began to use an online mathematics learning system in their lessons. We gave the teachers only basic instruction on how to operate the system and then observed them intensively over four school terms as they taught using it. We documented changes in the teachers' Pedagogical Technology Knowledge and subsequently classified their various roles as technology bystanders, adopters, adaptors and innovators. Results show that all teachers made some progress toward using the system in more sophisticated ways, but the improvements were not uniform across the teachers. We suggest possible reasons to explain the variation and discuss some implications for teacher professional development.

Analyzing Mathematics Beliefs of Pre-Service Teachers Using Confirmatory Factor Analysis

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Mazlini Adnan

2011-12-01

Full Text Available Mathematics beliefs play an important role in enhancing the quality and the effectiveness of teaching and learning. This study analyzes the mathematics beliefs of 317 pre-service teachers from six Higher Education Institutions (HEIs (Government Public Universities who were randomly selected to participate in this study. Questionnaires consisting of twenty three items were given to the respondents during the data collection process. The validation of the items was done by using confirmatory factor analysis (CFA. In order to obtain a model fit for the measurement model of mathematics beliefs, several fit index tests such as CMINDF, GFI, AGFI, IFI, NFI, CFI, TLI and RMSEA were used. Constructivist beliefs and traditional beliefs were identified as the contributing factors in the model. The analysis also revealed that mathematics beliefs consist of structures of two hidden variables. The correlation between the two variables (constructivist beliefs and traditional beliefs is at a moderate level. Hence, pre-service teachers should be able to recognize their type of mathematics beliefs in order to become effective mathematics teachers.